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Volumn 197, Issue 3, 1998, Pages 571-621

Four-dimensional Yang-Mills theory as a deformation of topological BF theory

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EID: 0032475804     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050465     Document Type: Article
Times cited : (62)

References (36)
  • 1
    • 0031538205 scopus 로고    scopus 로고
    • Topological field theory and physics
    • Anselmi, D.: Topological Field Theory and Physics. Class. Quant. Grav. 14, 1-20 (1997)
    • (1997) Class. Quant. Grav. , vol.14 , pp. 1-20
    • Anselmi, D.1
  • 2
    • 0040969973 scopus 로고
    • Relativistic S-matrix of dynamical systems with boson and fermion constraints
    • Batalin, I.A. and Vilkovisky, G.A.: Relativistic S-Matrix of Dynamical Systems with Boson and Fermion Constraints. Phys. Lett. 69 B, 309-312 (1977); Fradkin, E.S. and Fradkina, T.E.: Quantization of Relativistic Systems with Boson and Fermion First- and Second-Class Constraints. Phys. Lett. 72 B, 343-348 (1978)
    • (1977) Phys. Lett. , vol.69 B , pp. 309-312
    • Batalin, I.A.1    Vilkovisky, G.A.2
  • 3
    • 0000063730 scopus 로고
    • Quantization of relativistic systems with boson and fermion first- and second-class constraints
    • Batalin, I.A. and Vilkovisky, G.A.: Relativistic S-Matrix of Dynamical Systems with Boson and Fermion Constraints. Phys. Lett. 69 B, 309-312 (1977); Fradkin, E.S. and Fradkina, T.E.: Quantization of Relativistic Systems with Boson and Fermion First- and Second-Class Constraints. Phys. Lett. 72 B, 343-348 (1978)
    • (1978) Phys. Lett. , vol.72 B , pp. 343-348
    • Fradkin, E.S.1    Fradkina, T.E.2
  • 4
    • 0039454412 scopus 로고
    • Renormalization of the Abelian Higgs-Kibble model
    • Becchi, C., Rouet, A. and Stora R.: Renormalization of the Abelian Higgs-Kibble Model. Commun. Math. Phys. 42, 127 (1975); Tyutin, I.V.: Lebedev Institute preprint N39, 1975
    • (1975) Commun. Math. Phys. , vol.42 , pp. 127
    • Becchi, C.1    Rouet, A.2    Stora, R.3
  • 5
    • 0039454412 scopus 로고
    • Lebedev Institute preprint N39
    • Becchi, C., Rouet, A. and Stora R.: Renormalization of the Abelian Higgs-Kibble Model. Commun. Math. Phys. 42, 127 (1975); Tyutin, I.V.: Lebedev Institute preprint N39, 1975
    • (1975)
    • Tyutin, I.V.1
  • 7
    • 0013006018 scopus 로고
    • Horowitz, G.T.: Commun. Math. Phys. 125, 417-436 (1989); Blau, M. and Thompson, G.: Topological Gauge Theories of Antisymmetric Tensor Fields. Ann. Phys. 205, 130-172 (1991); Birmingham, D., Blau, M., Rakowski, M. and Thompson, G.: Topological Field Theory. Phys. Rept. 209, 129 (1991)
    • (1989) Commun. Math. Phys. , vol.125 , pp. 417-436
    • Horowitz, G.T.1
  • 8
    • 1542658135 scopus 로고
    • Topological gauge theories of antisymmetric tensor fields
    • Horowitz, G.T.: Commun. Math. Phys. 125, 417-436 (1989); Blau, M. and Thompson, G.: Topological Gauge Theories of Antisymmetric Tensor Fields. Ann. Phys. 205, 130-172 (1991); Birmingham, D., Blau, M., Rakowski, M. and Thompson, G.: Topological Field Theory. Phys. Rept. 209, 129 (1991)
    • (1991) Ann. Phys. , vol.205 , pp. 130-172
    • Blau, M.1    Thompson, G.2
  • 9
    • 0000167492 scopus 로고
    • Topological field theory
    • Horowitz, G.T.: Commun. Math. Phys. 125, 417-436 (1989); Blau, M. and Thompson, G.: Topological Gauge Theories of Antisymmetric Tensor Fields. Ann. Phys. 205, 130-172 (1991); Birmingham, D., Blau, M., Rakowski, M. and Thompson, G.: Topological Field Theory. Phys. Rept. 209, 129 (1991)
    • (1991) Phys. Rept. , vol.209 , pp. 129
    • Birmingham, D.1    Blau, M.2    Rakowski, M.3    Thompson, G.4
  • 10
    • 0000289049 scopus 로고
    • Some remarks on BRS transformations, anomalies and the cohomology of the Lie algebra of the group of gauge transformations
    • Bonora, L. and Cotta-Ramusino, P.: Some Remarks on BRS Transformations, Anomalies and the Cohomology of the Lie Algebra of the Group of Gauge Transformations. Commun. Math. Phys. 87, 589-603 (1983); Bonora, L., Cotta-Ramusino, P., Rinaldi, M. and Stasheff, J.; The Evaluation Map in Field Theory, Sigma-Models and Strings. I, Commun. Math. Phys. 112, 237-282 (1987), & II Commun. Math. Phys. 114, 381-437 (1988)
    • (1983) Commun. Math. Phys. , vol.87 , pp. 589-603
    • Bonora, L.1    Cotta-Ramusino, P.2
  • 11
    • 0000580477 scopus 로고
    • The evaluation map in field theory, sigma-models and strings. I
    • Bonora, L. and Cotta-Ramusino, P.: Some Remarks on BRS Transformations, Anomalies and the Cohomology of the Lie Algebra of the Group of Gauge Transformations. Commun. Math. Phys. 87, 589-603 (1983); Bonora, L., Cotta-Ramusino, P., Rinaldi, M. and Stasheff, J.; The Evaluation Map in Field Theory, Sigma-Models and Strings. I, Commun. Math. Phys. 112, 237-282 (1987), & II Commun. Math. Phys. 114, 381-437 (1988)
    • (1987) Commun. Math. Phys. , vol.112 , pp. 237-282
    • Bonora, L.1    Cotta-Ramusino, P.2    Rinaldi, M.3    Stasheff, J.4
  • 12
    • 0011055453 scopus 로고
    • The evaluation map in field theory, sigma-models and strings. II
    • Bonora, L. and Cotta-Ramusino, P.: Some Remarks on BRS Transformations, Anomalies and the Cohomology of the Lie Algebra of the Group of Gauge Transformations. Commun. Math. Phys. 87, 589-603 (1983); Bonora, L., Cotta-Ramusino, P., Rinaldi, M. and Stasheff, J.; The Evaluation Map in Field Theory, Sigma-Models and Strings. I, Commun. Math. Phys. 112, 237-282 (1987), & II Commun. Math. Phys. 114, 381-437 (1988)
    • (1988) Commun. Math. Phys. , vol.114 , pp. 381-437
  • 14
    • 0000558846 scopus 로고
    • The Donaldson-Witten invariants in pure 4D-QCD with order and disorder 't Hooft-like operators
    • Cattaneo, A.S., Cotta-Ramusino, P., Gamba, A. and Martellini, M.: The Donaldson-Witten Invariants in Pure 4D-QCD with Order and Disorder 't Hooft-like Operators. Phys. Lett. B 355, 245-254 (1995)
    • (1995) Phys. Lett. B , vol.355 , pp. 245-254
    • Cattaneo, A.S.1    Cotta-Ramusino, P.2    Gamba, A.3    Martellini, M.4
  • 15
    • 0031558121 scopus 로고    scopus 로고
    • The BF formalism for QCD and quark confinement
    • Fucito, F., Martellini, M., Zeni, M.: The BF Formalism for QCD and Quark Confinement. Nucl. Phys. B 496, 259-284 (1997)
    • (1997) Nucl. Phys. B , vol.496 , pp. 259-284
    • Fucito, F.1    Martellini, M.2    Zeni, M.3
  • 16
    • 0000974752 scopus 로고
    • Three-dimensional BF theories and the Alexander-Conway invariant of knots
    • Cattaneo, A.S., Cotta-Ramusino, P. and Martellini, M.: Three-Dimensional BF Theories and the Alexander-Conway Invariant of Knots. Nucl. Phys. B 346, 355-382 (1995); Cattaneo, A.S., Cotta-Ramusino, P., Fröhlich, J. and Martellini, M.: Topological BF Theories in 3 and 4 Dimensions. J. Math. Phys. 36, 6137-6160 (1995); Cattaneo, A.S.: Cabled Wilson Loops in BF Theories. J. Math. Phys. 37, 3684-3703 (1996); Cattaneo, A.S.: Abelian BF Theories and Knot Invariants. Commun. Math. Phys. 189, 795-828 (1997)
    • (1995) Nucl. Phys. B , vol.346 , pp. 355-382
    • Cattaneo, A.S.1    Cotta-Ramusino, P.2    Martellini, M.3
  • 17
    • 21844508548 scopus 로고
    • Topological BF theories in 3 and 4 dimensions
    • Cattaneo, A.S., Cotta-Ramusino, P. and Martellini, M.: Three-Dimensional BF Theories and the Alexander-Conway Invariant of Knots. Nucl. Phys. B 346, 355-382 (1995); Cattaneo, A.S., Cotta-Ramusino, P., Fröhlich, J. and Martellini, M.: Topological BF Theories in 3 and 4 Dimensions. J. Math. Phys. 36, 6137-6160 (1995); Cattaneo, A.S.: Cabled Wilson Loops in BF Theories. J. Math. Phys. 37, 3684-3703 (1996); Cattaneo, A.S.: Abelian BF Theories and Knot Invariants. Commun. Math. Phys. 189, 795-828 (1997)
    • (1995) J. Math. Phys. , vol.36 , pp. 6137-6160
    • Cattaneo, A.S.1    Cotta-Ramusino, P.2    Fröhlich, J.3    Martellini, M.4
  • 18
    • 0030495722 scopus 로고    scopus 로고
    • Cabled Wilson loops in BF theories
    • Cattaneo, A.S., Cotta-Ramusino, P. and Martellini, M.: Three-Dimensional BF Theories and the Alexander-Conway Invariant of Knots. Nucl. Phys. B 346, 355-382 (1995); Cattaneo, A.S., Cotta-Ramusino, P., Fröhlich, J. and Martellini, M.: Topological BF Theories in 3 and 4 Dimensions. J. Math. Phys. 36, 6137-6160 (1995); Cattaneo, A.S.: Cabled Wilson Loops in BF Theories. J. Math. Phys. 37, 3684-3703 (1996); Cattaneo, A.S.: Abelian BF Theories and Knot Invariants. Commun. Math. Phys. 189, 795-828 (1997)
    • (1996) J. Math. Phys. , vol.37 , pp. 3684-3703
    • Cattaneo, A.S.1
  • 19
    • 0031549894 scopus 로고    scopus 로고
    • Abelian BF theories and knot invariants
    • Cattaneo, A.S., Cotta-Ramusino, P. and Martellini, M.: Three-Dimensional BF Theories and the Alexander-Conway Invariant of Knots. Nucl. Phys. B 346, 355-382 (1995); Cattaneo, A.S., Cotta-Ramusino, P., Fröhlich, J. and Martellini, M.: Topological BF Theories in 3 and 4 Dimensions. J. Math. Phys. 36, 6137-6160 (1995); Cattaneo, A.S.: Cabled Wilson Loops in BF Theories. J. Math. Phys. 37, 3684-3703 (1996); Cattaneo, A.S.: Abelian BF Theories and Knot Invariants. Commun. Math. Phys. 189, 795-828 (1997)
    • (1997) Commun. Math. Phys. , vol.189 , pp. 795-828
    • Cattaneo, A.S.1
  • 22
    • 0000203345 scopus 로고
    • BF theories and 2-knots
    • (J. C. Baez ed.), Oxford, New York: Oxford University Press
    • Cotta-Ramusino, P. and Martellini, M.: BF Theories and 2-Knots. In: Knots and Quantum Gravity (J. C. Baez ed.), Oxford, New York: Oxford University Press, 1994
    • (1994) Knots and Quantum Gravity
    • Cotta-Ramusino, P.1    Martellini, M.2
  • 24
    • 0002486273 scopus 로고    scopus 로고
    • Feynman rules and β-function for the BF Yang-Mills theory
    • Martellini, M., Zeni, M.: Feynman Rules and β-Function for the BF Yang-Mills Theory. Phys. Lett. B 401, 62-68 (1997)
    • (1997) Phys. Lett. B , vol.401 , pp. 62-68
    • Martellini, M.1    Zeni, M.2
  • 25
    • 0040360802 scopus 로고    scopus 로고
    • Algebraic renormalization of the BF Yang-Mills theory
    • Fucito, F., Martellini, M., Sorella, S.P., Tanzini, A., Vilar, L.C.Q. and Zeni, M.: Algebraic Renormalization of the BF Yang-Mills Theory. Phys. Lett. B 404, 94-100 (1997), See also Accardi, A. and Belli, A.: Renormalization Transformations of the 4-D BFYM Theory. Mod. Phys. Lett. A 12, 2353-2366 (1997),
    • (1997) Phys. Lett. B , vol.404 , pp. 94-100
    • Fucito, F.1    Martellini, M.2    Sorella, S.P.3    Tanzini, A.4    Vilar, L.C.Q.5    Zeni, M.6
  • 26
    • 0001052538 scopus 로고    scopus 로고
    • Renormalization transformations of the 4-D BFYM theory
    • Fucito, F., Martellini, M., Sorella, S.P., Tanzini, A., Vilar, L.C.Q. and Zeni, M.: Algebraic Renormalization of the BF Yang-Mills Theory. Phys. Lett. B 404, 94-100 (1997), See also Accardi, A. and Belli, A.: Renormalization Transformations of the 4-D BFYM Theory. Mod. Phys. Lett. A 12, 2353-2366 (1997),
    • (1997) Mod. Phys. Lett. A , vol.12 , pp. 2353-2366
    • Accardi, A.1    Belli, A.2
  • 27
    • 0031564056 scopus 로고    scopus 로고
    • Cohomology and renormalization of BFYM theory in three dimensions
    • for the 3D case
    • and Accardi, A., Belli, A., Martellini, A. and Zeni, M.: Cohomology and Renormalization of BFYM Theory in Three Dimensions. Nucl. Phys. B 505, 540-566 (1997), for the 3D case
    • (1997) Nucl. Phys. B , vol.505 , pp. 540-566
    • Accardi, A.1    Belli, A.2    Martellini, A.3    Zeni, M.4
  • 28
    • 0000693601 scopus 로고
    • Field strength formulation of quantum chromodynamics
    • Halpern, M.B.: Field Strength Formulation of Quantum Chromodynamics. Phys. Rev. D16, 1798 (1977); Gauge Invariant Formulation of the Selfdual Sector. Phys. Rev. D 16, 3515 (1977)
    • (1977) Phys. Rev. D , vol.16 , pp. 1798
    • Halpern, M.B.1
  • 29
    • 0001172528 scopus 로고
    • Gauge invariant formulation of the selfdual sector
    • Halpern, M.B.: Field Strength Formulation of Quantum Chromodynamics. Phys. Rev. D16, 1798 (1977); Gauge Invariant Formulation of the Selfdual Sector. Phys. Rev. D 16, 3515 (1977)
    • (1977) Phys. Rev. D , vol.16 , pp. 3515
  • 30
    • 0002021138 scopus 로고    scopus 로고
    • Anomalies and renormalization of BFYM theory
    • Henneaux, M.: Anomalies and Renormalization of BFYM Theory. Phys. Lett. B 406, 66-69 (1997)
    • (1997) Phys. Lett. B , vol.406 , pp. 66-69
    • Henneaux, M.1
  • 32
    • 0001540490 scopus 로고
    • The partition function of degenerate quadratic functionals and Ray-Singer invariants
    • Schwarz, A.S.: The Partition Function of Degenerate Quadratic Functionals and Ray-Singer Invariants. Lett. Math. Phys. 2, 247-252 (1978)
    • (1978) Lett. Math. Phys. , vol.2 , pp. 247-252
    • Schwarz, A.S.1
  • 33
    • 29744443673 scopus 로고
    • On the phase transition towards permanent quark confinement
    • 't Hooft, G.: On the Phase Transition towards Permanent Quark Confinement. Nucl. Phys. B 138, 1 (1978); A Property of Electric and Magnetic Flux in Nonabelian Gauge Theories. Nucl. Phys. B 153, 141 (1979)
    • (1978) Nucl. Phys. B , vol.138 , pp. 1
    • 'T Hooft, G.1
  • 34
    • 0010887798 scopus 로고
    • A property of electric and magnetic flux in nonabelian gauge theories
    • 't Hooft, G.: On the Phase Transition towards Permanent Quark Confinement. Nucl. Phys. B 138, 1 (1978); A Property of Electric and Magnetic Flux in Nonabelian Gauge Theories. Nucl. Phys. B 153, 141 (1979)
    • (1979) Nucl. Phys. B , vol.153 , pp. 141
  • 35
    • 0038722672 scopus 로고
    • Topological quantum field theory
    • Witten, E.: Topological Quantum Field Theory. Commun. Math. Phys. 117, 353-386 (1988); Seiberg, N. and Witten, E.: Monopoles, Duality and Chiral Symmetry Breaking in N = 2 Supersymmetric QCD. Nucl. Phys. B 431, 581-640 (1994)
    • (1988) Commun. Math. Phys. , vol.117 , pp. 353-386
    • Witten, E.1
  • 36
    • 0346866199 scopus 로고
    • Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
    • Witten, E.: Topological Quantum Field Theory. Commun. Math. Phys. 117, 353-386 (1988); Seiberg, N. and Witten, E.: Monopoles, Duality and Chiral Symmetry Breaking in N = 2 Supersymmetric QCD. Nucl. Phys. B 431, 581-640 (1994)
    • (1994) Nucl. Phys. B , vol.431 , pp. 581-640
    • Seiberg, N.1    Witten, E.2


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