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Volumn 348, Issue 1-2, 2001, Pages 91-157

Exact renormalization group equations: An introductory review

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EID: 0002418646     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-1573(00)00137-X     Document Type: Review
Times cited : (452)

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    • M. Reuter, C. Wetterich, Effective average action for gauge theories and exact evolution equations, Nucl. Phys. B 417 (1994) 181; Gluon condensation in nonperturbative flow equations, Phys. Rev. D 56 (1997) 7893; M. Reuter, Effective average action of Chern-Simons field theory, Phys. Rev. D 53 (1996) 4430; D.F. Litim, J.M. Pawlowski, Flow equations for Yang-Mills theories in general axial gauges, Phys. Lett. B 435 (1998) 181; On general axial gauges for QCD, Nucl. Phys. Proc. Suppl. B 74 (1999) 329; On gauge invariance and Ward identities for the Wilsonian renormalisation group, Nucl. Phys. Proc. Suppl. B 74 (1999) 325; F. Freire, D.F. Litim, J.M. Pawlowski, Gauge invariance and background field formalism in the exact renormalisation group, Phys. Lett. B 495 (2000) 256; U. Ellwanger, Flow equations and BRS invariance for Yang-Mills theories, Phys. Lett. B 335 (1994) 364; U. Ellwanger, M. Hirsch, A. Weber, Flow equations for the relevant part of the pure Yang-Mills action, Z. Phys. C 69 (1996) 687; U. Ellwanger, Wilsonian effective action with an auxiliary field for the field strength, in: A. Krasnitz, R. Potting, P. Sá, Y.A. Kubyshin (Eds.), The Exact Renormalization Group, World Scientific, Singapore, 1999, p. 142; M. Bonini, M. D'Attanasio, G. Marchesini, Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance, Nucl. Phys. B 421 (1994) 429; BRS symmetry for Yang-Mills theory with exact renormalization group, Nucl. Phys. B 437 (1995) 163; Perturbative infrared finiteness of Yang-Mills theory from renormalization group flow, Nucl. Phys. B 444 (1995) 602; BRS symmetry from renormalization group flow, Phys. Lett. B 346 (1995) 87; M. Bonini, M. Tricarico, Fine-tuning and the Wilson renormalization group, Nucl. Phys. B 585 (2000) 253 ; M. D'Attanasio, M. Pietroni, Gauge-invariant renormalization group at finite temperature, Nucl. Phys. B 498 (1997) 443; T.R. Morris, Non-compact pure gauge QED in 3D is free, Phys. Lett. B 357 (1995) 225; M. D'Attanasio, T.R. Morris, Gauge invariance, the quantum action principle, and the renormalization group, Phys. Lett. B 378 (1996) 213; T.R. Morris, A gauge invariant exact renormalization group I, Nucl. Phys. B 573 (2000) 97; A gauge invariant exact renormalization group II, J. High Energy Phys. 12 (2000) 012; S.-B. Liao, Operator cutoff regularization and renormalization group in Yang-Mills theory, Phys. Rev. D 56 (1997) 5008; S. Hirano, Exact renormalization group and loop equation, Phys. Rev. D 61 (2000) 125011; S. Arnone, A. Panza, Exact renormalization group equation for SU(2) gauge fields interacting with massive fermions, Int. J. Mod. Phys. A 14 (1999) 3935; Y. Igarashi, K. Itoh, H. So, Exact symmetries realized on the renormalized group flow, Phys. Lett. B 479 (2000) 336; Exact BRS symmetry realized on the renormalization group flow, Prog. Theor. Phys. 104 (2000) 1053; M. Simionato, On the consistency of the exact renormalization group approach applied to gauge theories in algebraic non-covariant gauges, Int. J. Mod. Phys. A 15 (2000) 4811.
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    • Reuter, M.1
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    • M. Reuter, C. Wetterich, Effective average action for gauge theories and exact evolution equations, Nucl. Phys. B 417 (1994) 181; Gluon condensation in nonperturbative flow equations, Phys. Rev. D 56 (1997) 7893; M. Reuter, Effective average action of Chern-Simons field theory, Phys. Rev. D 53 (1996) 4430; D.F. Litim, J.M. Pawlowski, Flow equations for Yang-Mills theories in general axial gauges, Phys. Lett. B 435 (1998) 181; On general axial gauges for QCD, Nucl. Phys. Proc. Suppl. B 74 (1999) 329; On gauge invariance and Ward identities for the Wilsonian renormalisation group, Nucl. Phys. Proc. Suppl. B 74 (1999) 325; F. Freire, D.F. Litim, J.M. Pawlowski, Gauge invariance and background field formalism in the exact renormalisation group, Phys. Lett. B 495 (2000) 256; U. Ellwanger, Flow equations and BRS invariance for Yang-Mills theories, Phys. Lett. B 335 (1994) 364; U. Ellwanger, M. Hirsch, A. Weber, Flow equations for the relevant part of the pure Yang-Mills action, Z. Phys. C 69 (1996) 687; U. Ellwanger, Wilsonian effective action with an auxiliary field for the field strength, in: A. Krasnitz, R. Potting, P. Sá, Y.A. Kubyshin (Eds.), The Exact Renormalization Group, World Scientific, Singapore, 1999, p. 142; M. Bonini, M. D'Attanasio, G. Marchesini, Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance, Nucl. Phys. B 421 (1994) 429; BRS symmetry for Yang-Mills theory with exact renormalization group, Nucl. Phys. B 437 (1995) 163; Perturbative infrared finiteness of Yang-Mills theory from renormalization group flow, Nucl. Phys. B 444 (1995) 602; BRS symmetry from renormalization group flow, Phys. Lett. B 346 (1995) 87; M. Bonini, M. Tricarico, Fine-tuning and the Wilson renormalization group, Nucl. Phys. B 585 (2000) 253 ; M. D'Attanasio, M. Pietroni, Gauge-invariant renormalization group at finite temperature, Nucl. Phys. B 498 (1997) 443; T.R. Morris, Non-compact pure gauge QED in 3D is free, Phys. Lett. B 357 (1995) 225; M. D'Attanasio, T.R. Morris, Gauge invariance, the quantum action principle, and the renormalization group, Phys. Lett. B 378 (1996) 213; T.R. Morris, A gauge invariant exact renormalization group I, Nucl. Phys. B 573 (2000) 97; A gauge invariant exact renormalization group II, J. High Energy Phys. 12 (2000) 012; S.-B. Liao, Operator cutoff regularization and renormalization group in Yang-Mills theory, Phys. Rev. D 56 (1997) 5008; S. Hirano, Exact renormalization group and loop equation, Phys. Rev. D 61 (2000) 125011; S. Arnone, A. Panza, Exact renormalization group equation for SU(2) gauge fields interacting with massive fermions, Int. J. Mod. Phys. A 14 (1999) 3935; Y. Igarashi, K. Itoh, H. So, Exact symmetries realized on the renormalized group flow, Phys. Lett. B 479 (2000) 336; Exact BRS symmetry realized on the renormalization group flow, Prog. Theor. Phys. 104 (2000) 1053; M. Simionato, On the consistency of the exact renormalization group approach applied to gauge theories in algebraic non-covariant gauges, Int. J. Mod. Phys. A 15 (2000) 4811.
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    • Litim, D.F.1    Pawlowski, J.M.2
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    • M. Reuter, C. Wetterich, Effective average action for gauge theories and exact evolution equations, Nucl. Phys. B 417 (1994) 181; Gluon condensation in nonperturbative flow equations, Phys. Rev. D 56 (1997) 7893; M. Reuter, Effective average action of Chern-Simons field theory, Phys. Rev. D 53 (1996) 4430; D.F. Litim, J.M. Pawlowski, Flow equations for Yang-Mills theories in general axial gauges, Phys. Lett. B 435 (1998) 181; On general axial gauges for QCD, Nucl. Phys. Proc. Suppl. B 74 (1999) 329; On gauge invariance and Ward identities for the Wilsonian renormalisation group, Nucl. Phys. Proc. Suppl. B 74 (1999) 325; F. Freire, D.F. Litim, J.M. Pawlowski, Gauge invariance and background field formalism in the exact renormalisation group, Phys. Lett. B 495 (2000) 256; U. Ellwanger, Flow equations and BRS invariance for Yang-Mills theories, Phys. Lett. B 335 (1994) 364; U. Ellwanger, M. Hirsch, A. Weber, Flow equations for the relevant part of the pure Yang-Mills action, Z. Phys. C 69 (1996) 687; U. Ellwanger, Wilsonian effective action with an auxiliary field for the field strength, in: A. Krasnitz, R. Potting, P. Sá, Y.A. Kubyshin (Eds.), The Exact Renormalization Group, World Scientific, Singapore, 1999, p. 142; M. Bonini, M. D'Attanasio, G. Marchesini, Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance, Nucl. Phys. B 421 (1994) 429; BRS symmetry for Yang-Mills theory with exact renormalization group, Nucl. Phys. B 437 (1995) 163; Perturbative infrared finiteness of Yang-Mills theory from renormalization group flow, Nucl. Phys. B 444 (1995) 602; BRS symmetry from renormalization group flow, Phys. Lett. B 346 (1995) 87; M. Bonini, M. Tricarico, Fine-tuning and the Wilson renormalization group, Nucl. Phys. B 585 (2000) 253 ; M. D'Attanasio, M. Pietroni, Gauge-invariant renormalization group at finite temperature, Nucl. Phys. B 498 (1997) 443; T.R. Morris, Non-compact pure gauge QED in 3D is free, Phys. Lett. B 357 (1995) 225; M. D'Attanasio, T.R. Morris, Gauge invariance, the quantum action principle, and the renormalization group, Phys. Lett. B 378 (1996) 213; T.R. Morris, A gauge invariant exact renormalization group I, Nucl. Phys. B 573 (2000) 97; A gauge invariant exact renormalization group II, J. High Energy Phys. 12 (2000) 012; S.-B. Liao, Operator cutoff regularization and renormalization group in Yang-Mills theory, Phys. Rev. D 56 (1997) 5008; S. Hirano, Exact renormalization group and loop equation, Phys. Rev. D 61 (2000) 125011; S. Arnone, A. Panza, Exact renormalization group equation for SU(2) gauge fields interacting with massive fermions, Int. J. Mod. Phys. A 14 (1999) 3935; Y. Igarashi, K. Itoh, H. So, Exact symmetries realized on the renormalized group flow, Phys. Lett. B 479 (2000) 336; Exact BRS symmetry realized on the renormalization group flow, Prog. Theor. Phys. 104 (2000) 1053; M. Simionato, On the consistency of the exact renormalization group approach applied to gauge theories in algebraic non-covariant gauges, Int. J. Mod. Phys. A 15 (2000) 4811.
    • (1999) Nucl. Phys. Proc. Suppl. B , vol.74 , pp. 329
  • 282
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    • On gauge invariance and Ward identities for the Wilsonian renormalisation group
    • M. Reuter, C. Wetterich, Effective average action for gauge theories and exact evolution equations, Nucl. Phys. B 417 (1994) 181; Gluon condensation in nonperturbative flow equations, Phys. Rev. D 56 (1997) 7893; M. Reuter, Effective average action of Chern-Simons field theory, Phys. Rev. D 53 (1996) 4430; D.F. Litim, J.M. Pawlowski, Flow equations for Yang-Mills theories in general axial gauges, Phys. Lett. B 435 (1998) 181; On general axial gauges for QCD, Nucl. Phys. Proc. Suppl. B 74 (1999) 329; On gauge invariance and Ward identities for the Wilsonian renormalisation group, Nucl. Phys. Proc. Suppl. B 74 (1999) 325; F. Freire, D.F. Litim, J.M. Pawlowski, Gauge invariance and background field formalism in the exact renormalisation group, Phys. Lett. B 495 (2000) 256; U. Ellwanger, Flow equations and BRS invariance for Yang-Mills theories, Phys. Lett. B 335 (1994) 364; U. Ellwanger, M. Hirsch, A. Weber, Flow equations for the relevant part of the pure Yang-Mills action, Z. Phys. C 69 (1996) 687; U. Ellwanger, Wilsonian effective action with an auxiliary field for the field strength, in: A. Krasnitz, R. Potting, P. Sá, Y.A. Kubyshin (Eds.), The Exact Renormalization Group, World Scientific, Singapore, 1999, p. 142; M. Bonini, M. D'Attanasio, G. Marchesini, Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance, Nucl. Phys. B 421 (1994) 429; BRS symmetry for Yang-Mills theory with exact renormalization group, Nucl. Phys. B 437 (1995) 163; Perturbative infrared finiteness of Yang-Mills theory from renormalization group flow, Nucl. Phys. B 444 (1995) 602; BRS symmetry from renormalization group flow, Phys. Lett. B 346 (1995) 87; M. Bonini, M. Tricarico, Fine-tuning and the Wilson renormalization group, Nucl. Phys. B 585 (2000) 253 ; M. D'Attanasio, M. Pietroni, Gauge-invariant renormalization group at finite temperature, Nucl. Phys. B 498 (1997) 443; T.R. Morris, Non-compact pure gauge QED in 3D is free, Phys. Lett. B 357 (1995) 225; M. D'Attanasio, T.R. Morris, Gauge invariance, the quantum action principle, and the renormalization group, Phys. Lett. B 378 (1996) 213; T.R. Morris, A gauge invariant exact renormalization group I, Nucl. Phys. B 573 (2000) 97; A gauge invariant exact renormalization group II, J. High Energy Phys. 12 (2000) 012; S.-B. Liao, Operator cutoff regularization and renormalization group in Yang-Mills theory, Phys. Rev. D 56 (1997) 5008; S. Hirano, Exact renormalization group and loop equation, Phys. Rev. D 61 (2000) 125011; S. Arnone, A. Panza, Exact renormalization group equation for SU(2) gauge fields interacting with massive fermions, Int. J. Mod. Phys. A 14 (1999) 3935; Y. Igarashi, K. Itoh, H. So, Exact symmetries realized on the renormalized group flow, Phys. Lett. B 479 (2000) 336; Exact BRS symmetry realized on the renormalization group flow, Prog. Theor. Phys. 104 (2000) 1053; M. Simionato, On the consistency of the exact renormalization group approach applied to gauge theories in algebraic non-covariant gauges, Int. J. Mod. Phys. A 15 (2000) 4811.
    • (1999) Nucl. Phys. Proc. Suppl. B , vol.74 , pp. 325
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    • Gauge invariance and background field formalism in the exact renormalisation group
    • M. Reuter, C. Wetterich, Effective average action for gauge theories and exact evolution equations, Nucl. Phys. B 417 (1994) 181; Gluon condensation in nonperturbative flow equations, Phys. Rev. D 56 (1997) 7893; M. Reuter, Effective average action of Chern-Simons field theory, Phys. Rev. D 53 (1996) 4430; D.F. Litim, J.M. Pawlowski, Flow equations for Yang-Mills theories in general axial gauges, Phys. Lett. B 435 (1998) 181; On general axial gauges for QCD, Nucl. Phys. Proc. Suppl. B 74 (1999) 329; On gauge invariance and Ward identities for the Wilsonian renormalisation group, Nucl. Phys. Proc. Suppl. B 74 (1999) 325; F. Freire, D.F. Litim, J.M. Pawlowski, Gauge invariance and background field formalism in the exact renormalisation group, Phys. Lett. B 495 (2000) 256; U. Ellwanger, Flow equations and BRS invariance for Yang-Mills theories, Phys. Lett. B 335 (1994) 364; U. Ellwanger, M. Hirsch, A. Weber, Flow equations for the relevant part of the pure Yang-Mills action, Z. Phys. C 69 (1996) 687; U. Ellwanger, Wilsonian effective action with an auxiliary field for the field strength, in: A. Krasnitz, R. Potting, P. Sá, Y.A. Kubyshin (Eds.), The Exact Renormalization Group, World Scientific, Singapore, 1999, p. 142; M. Bonini, M. D'Attanasio, G. Marchesini, Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance, Nucl. Phys. B 421 (1994) 429; BRS symmetry for Yang-Mills theory with exact renormalization group, Nucl. Phys. B 437 (1995) 163; Perturbative infrared finiteness of Yang-Mills theory from renormalization group flow, Nucl. Phys. B 444 (1995) 602; BRS symmetry from renormalization group flow, Phys. Lett. B 346 (1995) 87; M. Bonini, M. Tricarico, Fine-tuning and the Wilson renormalization group, Nucl. Phys. B 585 (2000) 253 ; M. D'Attanasio, M. Pietroni, Gauge-invariant renormalization group at finite temperature, Nucl. Phys. B 498 (1997) 443; T.R. Morris, Non-compact pure gauge QED in 3D is free, Phys. Lett. B 357 (1995) 225; M. D'Attanasio, T.R. Morris, Gauge invariance, the quantum action principle, and the renormalization group, Phys. Lett. B 378 (1996) 213; T.R. Morris, A gauge invariant exact renormalization group I, Nucl. Phys. B 573 (2000) 97; A gauge invariant exact renormalization group II, J. High Energy Phys. 12 (2000) 012; S.-B. Liao, Operator cutoff regularization and renormalization group in Yang-Mills theory, Phys. Rev. D 56 (1997) 5008; S. Hirano, Exact renormalization group and loop equation, Phys. Rev. D 61 (2000) 125011; S. Arnone, A. Panza, Exact renormalization group equation for SU(2) gauge fields interacting with massive fermions, Int. J. Mod. Phys. A 14 (1999) 3935; Y. Igarashi, K. Itoh, H. So, Exact symmetries realized on the renormalized group flow, Phys. Lett. B 479 (2000) 336; Exact BRS symmetry realized on the renormalization group flow, Prog. Theor. Phys. 104 (2000) 1053; M. Simionato, On the consistency of the exact renormalization group approach applied to gauge theories in algebraic non-covariant gauges, Int. J. Mod. Phys. A 15 (2000) 4811.
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    • Freire, F.1    Litim, D.F.2    Pawlowski, J.M.3
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    • Flow equations and BRS invariance for Yang-Mills theories
    • M. Reuter, C. Wetterich, Effective average action for gauge theories and exact evolution equations, Nucl. Phys. B 417 (1994) 181; Gluon condensation in nonperturbative flow equations, Phys. Rev. D 56 (1997) 7893; M. Reuter, Effective average action of Chern-Simons field theory, Phys. Rev. D 53 (1996) 4430; D.F. Litim, J.M. Pawlowski, Flow equations for Yang-Mills theories in general axial gauges, Phys. Lett. B 435 (1998) 181; On general axial gauges for QCD, Nucl. Phys. Proc. Suppl. B 74 (1999) 329; On gauge invariance and Ward identities for the Wilsonian renormalisation group, Nucl. Phys. Proc. Suppl. B 74 (1999) 325; F. Freire, D.F. Litim, J.M. Pawlowski, Gauge invariance and background field formalism in the exact renormalisation group, Phys. Lett. B 495 (2000) 256; U. Ellwanger, Flow equations and BRS invariance for Yang-Mills theories, Phys. Lett. B 335 (1994) 364; U. Ellwanger, M. Hirsch, A. Weber, Flow equations for the relevant part of the pure Yang-Mills action, Z. Phys. C 69 (1996) 687; U. Ellwanger, Wilsonian effective action with an auxiliary field for the field strength, in: A. Krasnitz, R. Potting, P. Sá, Y.A. Kubyshin (Eds.), The Exact Renormalization Group, World Scientific, Singapore, 1999, p. 142; M. Bonini, M. D'Attanasio, G. Marchesini, Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance, Nucl. Phys. B 421 (1994) 429; BRS symmetry for Yang-Mills theory with exact renormalization group, Nucl. Phys. B 437 (1995) 163; Perturbative infrared finiteness of Yang-Mills theory from renormalization group flow, Nucl. Phys. B 444 (1995) 602; BRS symmetry from renormalization group flow, Phys. Lett. B 346 (1995) 87; M. Bonini, M. Tricarico, Fine-tuning and the Wilson renormalization group, Nucl. Phys. B 585 (2000) 253 ; M. D'Attanasio, M. Pietroni, Gauge-invariant renormalization group at finite temperature, Nucl. Phys. B 498 (1997) 443; T.R. Morris, Non-compact pure gauge QED in 3D is free, Phys. Lett. B 357 (1995) 225; M. D'Attanasio, T.R. Morris, Gauge invariance, the quantum action principle, and the renormalization group, Phys. Lett. B 378 (1996) 213; T.R. Morris, A gauge invariant exact renormalization group I, Nucl. Phys. B 573 (2000) 97; A gauge invariant exact renormalization group II, J. High Energy Phys. 12 (2000) 012; S.-B. Liao, Operator cutoff regularization and renormalization group in Yang-Mills theory, Phys. Rev. D 56 (1997) 5008; S. Hirano, Exact renormalization group and loop equation, Phys. Rev. D 61 (2000) 125011; S. Arnone, A. Panza, Exact renormalization group equation for SU(2) gauge fields interacting with massive fermions, Int. J. Mod. Phys. A 14 (1999) 3935; Y. Igarashi, K. Itoh, H. So, Exact symmetries realized on the renormalized group flow, Phys. Lett. B 479 (2000) 336; Exact BRS symmetry realized on the renormalization group flow, Prog. Theor. Phys. 104 (2000) 1053; M. Simionato, On the consistency of the exact renormalization group approach applied to gauge theories in algebraic non-covariant gauges, Int. J. Mod. Phys. A 15 (2000) 4811.
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    • Ellwanger, U.1
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    • M. Reuter, C. Wetterich, Effective average action for gauge theories and exact evolution equations, Nucl. Phys. B 417 (1994) 181; Gluon condensation in nonperturbative flow equations, Phys. Rev. D 56 (1997) 7893; M. Reuter, Effective average action of Chern-Simons field theory, Phys. Rev. D 53 (1996) 4430; D.F. Litim, J.M. Pawlowski, Flow equations for Yang-Mills theories in general axial gauges, Phys. Lett. B 435 (1998) 181; On general axial gauges for QCD, Nucl. Phys. Proc. Suppl. B 74 (1999) 329; On gauge invariance and Ward identities for the Wilsonian renormalisation group, Nucl. Phys. Proc. Suppl. B 74 (1999) 325; F. Freire, D.F. Litim, J.M. Pawlowski, Gauge invariance and background field formalism in the exact renormalisation group, Phys. Lett. B 495 (2000) 256; U. Ellwanger, Flow equations and BRS invariance for Yang-Mills theories, Phys. Lett. B 335 (1994) 364; U. Ellwanger, M. Hirsch, A. Weber, Flow equations for the relevant part of the pure Yang-Mills action, Z. Phys. C 69 (1996) 687; U. Ellwanger, Wilsonian effective action with an auxiliary field for the field strength, in: A. Krasnitz, R. Potting, P. Sá, Y.A. Kubyshin (Eds.), The Exact Renormalization Group, World Scientific, Singapore, 1999, p. 142; M. Bonini, M. D'Attanasio, G. Marchesini, Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance, Nucl. Phys. B 421 (1994) 429; BRS symmetry for Yang-Mills theory with exact renormalization group, Nucl. Phys. B 437 (1995) 163; Perturbative infrared finiteness of Yang-Mills theory from renormalization group flow, Nucl. Phys. B 444 (1995) 602; BRS symmetry from renormalization group flow, Phys. Lett. B 346 (1995) 87; M. Bonini, M. Tricarico, Fine-tuning and the Wilson renormalization group, Nucl. Phys. B 585 (2000) 253 ; M. D'Attanasio, M. Pietroni, Gauge-invariant renormalization group at finite temperature, Nucl. Phys. B 498 (1997) 443; T.R. Morris, Non-compact pure gauge QED in 3D is free, Phys. Lett. B 357 (1995) 225; M. D'Attanasio, T.R. Morris, Gauge invariance, the quantum action principle, and the renormalization group, Phys. Lett. B 378 (1996) 213; T.R. Morris, A gauge invariant exact renormalization group I, Nucl. Phys. B 573 (2000) 97; A gauge invariant exact renormalization group II, J. High Energy Phys. 12 (2000) 012; S.-B. Liao, Operator cutoff regularization and renormalization group in Yang-Mills theory, Phys. Rev. D 56 (1997) 5008; S. Hirano, Exact renormalization group and loop equation, Phys. Rev. D 61 (2000) 125011; S. Arnone, A. Panza, Exact renormalization group equation for SU(2) gauge fields interacting with massive fermions, Int. J. Mod. Phys. A 14 (1999) 3935; Y. Igarashi, K. Itoh, H. So, Exact symmetries realized on the renormalized group flow, Phys. Lett. B 479 (2000) 336; Exact BRS symmetry realized on the renormalization group flow, Prog. Theor. Phys. 104 (2000) 1053; M. Simionato, On the consistency of the exact renormalization group approach applied to gauge theories in algebraic non-covariant gauges, Int. J. Mod. Phys. A 15 (2000) 4811.
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    • Ellwanger, U.1    Hirsch, M.2    Weber, A.3
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    • A. Krasnitz, R. Potting, P. Sá, Y.A. Kubyshin (Eds.), World Scientific, Singapore
    • M. Reuter, C. Wetterich, Effective average action for gauge theories and exact evolution equations, Nucl. Phys. B 417 (1994) 181; Gluon condensation in nonperturbative flow equations, Phys. Rev. D 56 (1997) 7893; M. Reuter, Effective average action of Chern-Simons field theory, Phys. Rev. D 53 (1996) 4430; D.F. Litim, J.M. Pawlowski, Flow equations for Yang-Mills theories in general axial gauges, Phys. Lett. B 435 (1998) 181; On general axial gauges for QCD, Nucl. Phys. Proc. Suppl. B 74 (1999) 329; On gauge invariance and Ward identities for the Wilsonian renormalisation group, Nucl. Phys. Proc. Suppl. B 74 (1999) 325; F. Freire, D.F. Litim, J.M. Pawlowski, Gauge invariance and background field formalism in the exact renormalisation group, Phys. Lett. B 495 (2000) 256; U. Ellwanger, Flow equations and BRS invariance for Yang-Mills theories, Phys. Lett. B 335 (1994) 364; U. Ellwanger, M. Hirsch, A. Weber, Flow equations for the relevant part of the pure Yang-Mills action, Z. Phys. C 69 (1996) 687; U. Ellwanger, Wilsonian effective action with an auxiliary field for the field strength, in: A. Krasnitz, R. Potting, P. Sá, Y.A. Kubyshin (Eds.), The Exact Renormalization Group, World Scientific, Singapore, 1999, p. 142; M. Bonini, M. D'Attanasio, G. Marchesini, Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance, Nucl. Phys. B 421 (1994) 429; BRS symmetry for Yang-Mills theory with exact renormalization group, Nucl. Phys. B 437 (1995) 163; Perturbative infrared finiteness of Yang-Mills theory from renormalization group flow, Nucl. Phys. B 444 (1995) 602; BRS symmetry from renormalization group flow, Phys. Lett. B 346 (1995) 87; M. Bonini, M. Tricarico, Fine-tuning and the Wilson renormalization group, Nucl. Phys. B 585 (2000) 253 ; M. D'Attanasio, M. Pietroni, Gauge-invariant renormalization group at finite temperature, Nucl. Phys. B 498 (1997) 443; T.R. Morris, Non-compact pure gauge QED in 3D is free, Phys. Lett. B 357 (1995) 225; M. D'Attanasio, T.R. Morris, Gauge invariance, the quantum action principle, and the renormalization group, Phys. Lett. B 378 (1996) 213; T.R. Morris, A gauge invariant exact renormalization group I, Nucl. Phys. B 573 (2000) 97; A gauge invariant exact renormalization group II, J. High Energy Phys. 12 (2000) 012; S.-B. Liao, Operator cutoff regularization and renormalization group in Yang-Mills theory, Phys. Rev. D 56 (1997) 5008; S. Hirano, Exact renormalization group and loop equation, Phys. Rev. D 61 (2000) 125011; S. Arnone, A. Panza, Exact renormalization group equation for SU(2) gauge fields interacting with massive fermions, Int. J. Mod. Phys. A 14 (1999) 3935; Y. Igarashi, K. Itoh, H. So, Exact symmetries realized on the renormalized group flow, Phys. Lett. B 479 (2000) 336; Exact BRS symmetry realized on the renormalization group flow, Prog. Theor. Phys. 104 (2000) 1053; M. Simionato, On the consistency of the exact renormalization group approach applied to gauge theories in algebraic non-covariant gauges, Int. J. Mod. Phys. A 15 (2000) 4811.
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    • (1995) Phys. Lett. B , vol.346 , pp. 87
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    • M. Reuter, C. Wetterich, Effective average action for gauge theories and exact evolution equations, Nucl. Phys. B 417 (1994) 181; Gluon condensation in nonperturbative flow equations, Phys. Rev. D 56 (1997) 7893; M. Reuter, Effective average action of Chern-Simons field theory, Phys. Rev. D 53 (1996) 4430; D.F. Litim, J.M. Pawlowski, Flow equations for Yang-Mills theories in general axial gauges, Phys. Lett. B 435 (1998) 181; On general axial gauges for QCD, Nucl. Phys. Proc. Suppl. B 74 (1999) 329; On gauge invariance and Ward identities for the Wilsonian renormalisation group, Nucl. Phys. Proc. Suppl. B 74 (1999) 325; F. Freire, D.F. Litim, J.M. Pawlowski, Gauge invariance and background field formalism in the exact renormalisation group, Phys. Lett. B 495 (2000) 256; U. Ellwanger, Flow equations and BRS invariance for Yang-Mills theories, Phys. Lett. B 335 (1994) 364; U. Ellwanger, M. Hirsch, A. Weber, Flow equations for the relevant part of the pure Yang-Mills action, Z. Phys. C 69 (1996) 687; U. Ellwanger, Wilsonian effective action with an auxiliary field for the field strength, in: A. Krasnitz, R. Potting, P. Sá, Y.A. Kubyshin (Eds.), The Exact Renormalization Group, World Scientific, Singapore, 1999, p. 142; M. Bonini, M. D'Attanasio, G. Marchesini, Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance, Nucl. Phys. B 421 (1994) 429; BRS symmetry for Yang-Mills theory with exact renormalization group, Nucl. Phys. B 437 (1995) 163; Perturbative infrared finiteness of Yang-Mills theory from renormalization group flow, Nucl. Phys. B 444 (1995) 602; BRS symmetry from renormalization group flow, Phys. Lett. B 346 (1995) 87; M. Bonini, M. Tricarico, Fine-tuning and the Wilson renormalization group, Nucl. Phys. B 585 (2000) 253 ; M. D'Attanasio, M. Pietroni, Gauge-invariant renormalization group at finite temperature, Nucl. Phys. B 498 (1997) 443; T.R. Morris, Non-compact pure gauge QED in 3D is free, Phys. Lett. B 357 (1995) 225; M. D'Attanasio, T.R. Morris, Gauge invariance, the quantum action principle, and the renormalization group, Phys. Lett. B 378 (1996) 213; T.R. Morris, A gauge invariant exact renormalization group I, Nucl. Phys. B 573 (2000) 97; A gauge invariant exact renormalization group II, J. High Energy Phys. 12 (2000) 012; S.-B. Liao, Operator cutoff regularization and renormalization group in Yang-Mills theory, Phys. Rev. D 56 (1997) 5008; S. Hirano, Exact renormalization group and loop equation, Phys. Rev. D 61 (2000) 125011; S. Arnone, A. Panza, Exact renormalization group equation for SU(2) gauge fields interacting with massive fermions, Int. J. Mod. Phys. A 14 (1999) 3935; Y. Igarashi, K. Itoh, H. So, Exact symmetries realized on the renormalized group flow, Phys. Lett. B 479 (2000) 336; Exact BRS symmetry realized on the renormalization group flow, Prog. Theor. Phys. 104 (2000) 1053; M. Simionato, On the consistency of the exact renormalization group approach applied to gauge theories in algebraic non-covariant gauges, Int. J. Mod. Phys. A 15 (2000) 4811.
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    • (1995) Phys. Lett. B , vol.357 , pp. 225
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    • M. Reuter, C. Wetterich, Effective average action for gauge theories and exact evolution equations, Nucl. Phys. B 417 (1994) 181; Gluon condensation in nonperturbative flow equations, Phys. Rev. D 56 (1997) 7893; M. Reuter, Effective average action of Chern-Simons field theory, Phys. Rev. D 53 (1996) 4430; D.F. Litim, J.M. Pawlowski, Flow equations for Yang-Mills theories in general axial gauges, Phys. Lett. B 435 (1998) 181; On general axial gauges for QCD, Nucl. Phys. Proc. Suppl. B 74 (1999) 329; On gauge invariance and Ward identities for the Wilsonian renormalisation group, Nucl. Phys. Proc. Suppl. B 74 (1999) 325; F. Freire, D.F. Litim, J.M. Pawlowski, Gauge invariance and background field formalism in the exact renormalisation group, Phys. Lett. B 495 (2000) 256; U. Ellwanger, Flow equations and BRS invariance for Yang-Mills theories, Phys. Lett. B 335 (1994) 364; U. Ellwanger, M. Hirsch, A. Weber, Flow equations for the relevant part of the pure Yang-Mills action, Z. Phys. C 69 (1996) 687; U. Ellwanger, Wilsonian effective action with an auxiliary field for the field strength, in: A. Krasnitz, R. Potting, P. Sá, Y.A. Kubyshin (Eds.), The Exact Renormalization Group, World Scientific, Singapore, 1999, p. 142; M. Bonini, M. D'Attanasio, G. Marchesini, Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance, Nucl. Phys. B 421 (1994) 429; BRS symmetry for Yang-Mills theory with exact renormalization group, Nucl. Phys. B 437 (1995) 163; Perturbative infrared finiteness of Yang-Mills theory from renormalization group flow, Nucl. Phys. B 444 (1995) 602; BRS symmetry from renormalization group flow, Phys. Lett. B 346 (1995) 87; M. Bonini, M. Tricarico, Fine-tuning and the Wilson renormalization group, Nucl. Phys. B 585 (2000) 253 ; M. D'Attanasio, M. Pietroni, Gauge-invariant renormalization group at finite temperature, Nucl. Phys. B 498 (1997) 443; T.R. Morris, Non-compact pure gauge QED in 3D is free, Phys. Lett. B 357 (1995) 225; M. D'Attanasio, T.R. Morris, Gauge invariance, the quantum action principle, and the renormalization group, Phys. Lett. B 378 (1996) 213; T.R. Morris, A gauge invariant exact renormalization group I, Nucl. Phys. B 573 (2000) 97; A gauge invariant exact renormalization group II, J. High Energy Phys. 12 (2000) 012; S.-B. Liao, Operator cutoff regularization and renormalization group in Yang-Mills theory, Phys. Rev. D 56 (1997) 5008; S. Hirano, Exact renormalization group and loop equation, Phys. Rev. D 61 (2000) 125011; S. Arnone, A. Panza, Exact renormalization group equation for SU(2) gauge fields interacting with massive fermions, Int. J. Mod. Phys. A 14 (1999) 3935; Y. Igarashi, K. Itoh, H. So, Exact symmetries realized on the renormalized group flow, Phys. Lett. B 479 (2000) 336; Exact BRS symmetry realized on the renormalization group flow, Prog. Theor. Phys. 104 (2000) 1053; M. Simionato, On the consistency of the exact renormalization group approach applied to gauge theories in algebraic non-covariant gauges, Int. J. Mod. Phys. A 15 (2000) 4811.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.