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Volumn 5, Issue 11, 2001, Pages 1-17

Derivative expansion and renormalisation group flows

Author keywords

Field Theories in Lower Dimensions; Nonperturbative Effects; Renormalization Regularization and Renormalons

Indexed keywords


EID: 33744749589     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/11/059     Document Type: Article
Times cited : (81)

References (40)
  • 1
    • 0009189528 scopus 로고
    • Renormalization and effective lagrangians
    • J. Polchinski, Renormalization and effective lagrangians, Nucl. Phys. B 231 (1984) 269.
    • (1984) Nucl. Phys. B , vol.231 , pp. 269
    • Polchinski, J.1
  • 2
    • 0002101282 scopus 로고
    • Exact evolution equation for the effective potential
    • C. Wetterich, Exact evolution equation for the effective potential, Phys. Lett. B 301 (1993) 90.
    • (1993) Phys. Lett. B , vol.301 , pp. 90
    • Wetterich, C.1
  • 3
    • 0001537134 scopus 로고
    • Flow equations for n point functions and bound states
    • hep-ph/9308260
    • U. Ellwanger, Flow equations for n point functions and bound states, Z. Physik C 62 (1994) 503 [hep-ph/9308260].
    • (1994) Z. Physik C , vol.62 , pp. 503
    • Ellwanger, U.1
  • 4
    • 0001303808 scopus 로고
    • The exact renormalization group and approximate solutions
    • hep-ph/9308265
    • T.R. Morris, The exact renormalization group and approximate solutions, Int. J. Mod. Phys. A 9 (1994) 2411 [hep-ph/9308265].
    • (1994) Int. J. Mod. Phys. A , vol.9 , pp. 2411
    • Morris, T.R.1
  • 5
    • 0002418646 scopus 로고    scopus 로고
    • Exact renormalization group equations: An introductory review
    • [hep-th/0002034]
    • C. Bagnuls and C. Bervillier, Exact renormalization group equations: an introductory review, Phys. Rep. 348 (2001) 91 [hep-th/0002034].
    • (2001) Phys. Rep. , vol.348 , pp. 91
    • Bagnuls, C.1    Bervillier, C.2
  • 8
    • 33645917702 scopus 로고    scopus 로고
    • Convergence of derivative expansions of the renormalization group
    • [hep-th/9906166]
    • T.R. Morris and J.F. Tighe, Convergence of derivative expansions of the renormalization group, J. High Energy Phys. 08 (1999) 007 [hep-th/9906166].
    • (1999) J. High Energy Phys. , Issue.8 , pp. 007
    • Morris, T.R.1    Tighe, J.F.2
  • 9
    • 0002146894 scopus 로고
    • Jose and E. Moreno, Scheme independence and the exact renormalization group
    • [hep-th/9411122]
    • R.D. Ball, P.E. Haagensen, I. Latorre, Jose and E. Moreno, Scheme independence and the exact renormalization group, Phys. Lett. B 347 (1995) 80 [hep-th/9411122].
    • (1995) Phys. Lett. B , vol.347 , pp. 80
    • Ball, R.D.1    Haagensen, P.E.2    Latorre, I.3
  • 10
    • 0039380238 scopus 로고    scopus 로고
    • Scheme independence at first order phase transitions and the renormalisation group
    • [hep-th/9609040]
    • D.F. Litim, Scheme independence at first order phase transitions and the renormalisation group, Phys. Lett. B 393 (1997) 103 [hep-th/9609040].
    • (1997) Phys. Lett. B , vol.393 , pp. 103
    • Litim, D.F.1
  • 11
    • 0035881632 scopus 로고    scopus 로고
    • Charge cross-over at the U(1)-Higgs phase transition
    • [hep-ph/0002153]
    • F. Freire and D.F. Litim, Charge cross-over at the U(1)-Higgs phase transition, Phys. Rev. D 64 (2001) 045014 [hep-ph/0002153].
    • (2001) Phys. Rev. D , vol.64
    • Freire, F.1    Litim, D.F.2
  • 12
    • 0034695769 scopus 로고    scopus 로고
    • Optimization of renormalization group flow
    • [hep-th/9905206]
    • S.-B. Liao, J. Polonyi and M. Strickland, Optimization of renormalization group flow, Nucl. Phys. B 567 (2000) 493 [hep-th/9905206].
    • (2000) Nucl. Phys. B , vol.567 , pp. 493
    • Liao, S.-B.1    Polonyi, J.2    Strickland, M.3
  • 13
    • 0347744361 scopus 로고    scopus 로고
    • Optimisation of the exact renormalisation group
    • [hep-th/0005245]
    • D.F. Litim, Optimisation of the exact renormalisation group, Phys. Lett. B 486 (2000) 92 [hep-th/0005245].
    • (2000) Phys. Lett. B , vol.486 , pp. 92
    • Litim, D.F.1
  • 14
    • 0035890479 scopus 로고    scopus 로고
    • Optimised renormalisation group flows
    • [hep-th/0103195]
    • D.F. Litim, Optimised renormalisation group flows, Phys. Rev. D 64 (2001) 105007 [hep-th/0103195].
    • (2001) Phys. Rev. D , vol.64
    • Litim, D.F.1
  • 15
    • 0035972345 scopus 로고    scopus 로고
    • Mind the gap
    • D.F. Litim, Mind the gap, Int. J. Mod. Phys. A 16 (2001) 2081 [hep-th/0104221].
    • (2001) Int. J. Mod. Phys. A , vol.16 , pp. 2081
    • Litim, D.F.1
  • 16
    • 4243995991 scopus 로고
    • Critical exponents for transitions with n = −2 components of the order parameter
    • R. Balian and G. Toulouse, Critical exponents for transitions with n = −2 components of the order parameter, Phys. Rev. Lett. 30 (1973) 544.
    • (1973) Phys. Rev. Lett. , vol.30 , pp. 544
    • Balian, R.1    Toulouse, G.2
  • 17
    • 4244012143 scopus 로고
    • Classical, n-component spin systems or fields with negative even integral n
    • M.E. Fisher, Classical, n-component spin systems or fields with negative even integral n, Phys. Rev. Lett. 30 (1973) 679.
    • (1973) Phys. Rev. Lett. , vol.30 , pp. 679
    • Fisher, M.E.1
  • 18
    • 0038375900 scopus 로고
    • Derivative expansion of the exact renormalization group
    • hep-ph/9403340
    • T.R. Morris, Derivative expansion of the exact renormalization group, Phys. Lett. B 329 (1994) 241 [hep-ph/9403340].
    • (1994) Phys. Lett. B , vol.329 , pp. 241
    • Morris, T.R.1
  • 19
    • 0030574921 scopus 로고    scopus 로고
    • Analytical solutions of exact renormalization group equations
    • [hep-th/9512073]
    • N. Tetradis and D.F. Litim, Analytical solutions of exact renormalization group equations, Nucl. Phys. B 464 (1996) 492 [hep-th/9512073].
    • (1996) Nucl. Phys. B , vol.464 , pp. 492
    • Tetradis, N.1    Litim, D.F.2
  • 21
    • 85054555727 scopus 로고    scopus 로고
    • under completion
    • D.F. Litim, under completion.
    • Litim, D.F.1
  • 22
    • 0032398863 scopus 로고    scopus 로고
    • Rapidly converging truncation scheme of the exact renormalization group
    • [hep-th/9803056]
    • K.-I. Aoki, K. Morikawa, W. Souma, J.-I. Sumi and H. Terao, Rapidly converging truncation scheme of the exact renormalization group, Prog. Theor. Phys. 99 (1998) 451 [hep-th/9803056].
    • (1998) Prog. Theor. Phys. , vol.99 , pp. 451
    • Aoki, K.-I.1    Morikawa, K.2    Souma, W.3    Sumi, J.-I.4    Terao, H.5
  • 23
    • 0040726947 scopus 로고
    • On truncations of the exact renormalization group
    • [hep-th/9405190]
    • T.R. Morris, On truncations of the exact renormalization group, Phys. Lett. B 334 (1994) 355 [hep-th/9405190].
    • (1994) Phys. Lett. B , vol.334 , pp. 355
    • Morris, T.R.1
  • 24
    • 0000222756 scopus 로고
    • Nonperturbative renormalization-group calculations for continuum spin systems
    • G.R. Golner, Nonperturbative renormalization-group calculations for continuum spin systems, Phys. Rev. B 33 (1986) 7863.
    • (1986) Phys. Rev. B , vol.33 , pp. 7863
    • Golner, G.R.1
  • 25
    • 0000500921 scopus 로고
    • Renormalization group study of scalar field theories
    • A. Hasenfratz and P. Hasenfratz, Renormalization group study of scalar field theories, Nucl. Phys. B 270 (1986) 687.
    • (1986) Nucl. Phys. B , vol.270 , pp. 687
    • Hasenfratz, A.1    Hasenfratz, P.2
  • 26
    • 0031564928 scopus 로고    scopus 로고
    • O(N) models within the local potential approximation
    • [hep-th/9701028]
    • J. Comellas and A. Travesset, O(N) models within the local potential approximation, Nucl. Phys. B 498 (1997) 539 [hep-th/9701028].
    • (1997) Nucl. Phys. B , vol.498 , pp. 539
    • Comellas, J.1    Travesset, A.2
  • 27
    • 0032509641 scopus 로고    scopus 로고
    • Derivative expansion of the renormalization group in O(N) scalar field theory
    • [hep-th/9704202]
    • T.R. Morris and M.D. Turner, Derivative expansion of the renormalization group in O(N) scalar field theory, Nucl. Phys. B 509 (1998) 637 [hep-th/9704202].
    • (1998) Nucl. Phys. B , vol.509 , pp. 637
    • Morris, T.R.1    Turner, M.D.2
  • 28
    • 0032509680 scopus 로고    scopus 로고
    • Polchinski equation, reparameterization invariance and the derivative expansion
    • [hep-th/9705129]
    • J. Comellas, Polchinski equation, reparameterization invariance and the derivative expansion, Nucl. Phys. B 509 (1998) 662 [hep-th/9705129].
    • (1998) Nucl. Phys. B , vol.509 , pp. 662
    • Comellas, J.1
  • 29
    • 0041663704 scopus 로고    scopus 로고
    • Predictive power of renormalisation group flows: A comparison
    • [hep-th/0107020]
    • D.F. Litim and J.M. Pawlowski, Predictive power of renormalisation group flows: a comparison, Phys. Lett. B 516 (2001) 197 [hep-th/0107020].
    • (2001) Phys. Lett. B , vol.516 , pp. 197
    • Litim, D.F.1    Pawlowski, J.M.2
  • 30
    • 0035890429 scopus 로고    scopus 로고
    • Proper time regulator and renormalization group flow
    • hep-th/0106230
    • M. Mazza and D. Zappala, Proper time regulator and renormalization group flow, Phys. Rev. D 64 (2001) 105013 [hep-th/0106230].
    • (2001) Phys. Rev. D , vol.64 , pp. 105013
    • Mazza, M.1    Zappala, D.2
  • 31
    • 0035810316 scopus 로고    scopus 로고
    • Towards an accurate determination of the critical exponents with the renormalization group flow equations
    • [hep-th/0010095]
    • A. Bonanno and D. Zappala, Towards an accurate determination of the critical exponents with the renormalization group flow equations, Phys. Lett. B 504 (2001) 181 [hep-th/0010095].
    • (2001) Phys. Lett. B , vol.504 , pp. 181
    • Bonanno, A.1    Zappala, D.2
  • 33
    • 0001553762 scopus 로고    scopus 로고
    • Precise determination of critical exponents and equation of state by field theory methods
    • [hep-th/0002136]
    • J. Zinn-Justin, Precise determination of critical exponents and equation of state by field theory methods, Phys. Rep. 344 (2001) 159 [hep-th/0002136].
    • (2001) Phys. Rep. , vol.344 , pp. 159
    • Zinn-Justin, J.1
  • 34
    • 0000438832 scopus 로고    scopus 로고
    • On connection between momentum cutoff and the proper time regulariza-tions
    • hep-th/9501124
    • S.B. Liao, On connection between momentum cutoff and the proper time regulariza-tions, Phys. Rev. D 53 (1996) 2020 [hep-th/9501124].
    • (1996) Phys. Rev. D , vol.53 , pp. 2020
    • Liao, S.B.1
  • 35
    • 0000048729 scopus 로고    scopus 로고
    • Nonperturbative analysis of the Coleman-Weinberg phase transition
    • hep-ph/9407267
    • D. Litim, C. Wetterich and N. Tetradis, Nonperturbative analysis of the Coleman-Weinberg phase transition, Mod. Phys. Lett. A 12 (1997) 2287 [hep-ph/9407267].
    • (1997) Mod. Phys. Lett. A , vol.12 , pp. 2287
    • Litim, D.1    Wetterich, C.2    Tetradis, N.3
  • 36
    • 0001422025 scopus 로고    scopus 로고
    • Phase transition of N component superconductors
    • cond-mat/9502039
    • B. Bergerhoff, D. Litim, S. Lola and C. Wetterich, Phase transition of N component superconductors, Int. J. Mod. Phys. A 11 (1996) 4273 [cond-mat/9502039].
    • (1996) Int. J. Mod. Phys. A , vol.11 , pp. 4273
    • Bergerhoff, B.1    Litim, D.2    Lola, S.3    Wetterich, C.4
  • 38
    • 0001742901 scopus 로고    scopus 로고
    • Nonperturbative evolution equation for quantum gravity
    • [hep-th/9605030]
    • M. Reuter, Nonperturbative evolution equation for quantum gravity, Phys. Rev. D 57 (1998) 971 [hep-th/9605030].
    • (1998) Phys. Rev. D , vol.57 , pp. 971
    • Reuter, M.1


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