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Volumn 524, Issue 3, 1998, Pages 695-741

The configuration space of low-dimensional Yang-Mills theories

Author keywords

Gauge fixing; Gauge invariant variables; Gribov problem; Yang Mills theories

Indexed keywords


EID: 0032479706     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00260-0     Document Type: Article
Times cited : (9)

References (64)
  • 1
    • 33645928718 scopus 로고
    • Confinement of quarks
    • [1] K.G. Wilson, Confinement of quarks, Phys. Rev. D 10 (1974) 2445-2459.
    • (1974) Phys. Rev. D , vol.10 , pp. 2445-2459
    • Wilson, K.G.1
  • 5
    • 11744362666 scopus 로고
    • Some analytic results concerning the mass spectrum of Yang-Mills gauge theories on a torus
    • [5] M. Lüscher, Some analytic results concerning the mass spectrum of Yang-Mills gauge theories on a torus, Nucl. Phys. B 219 (1983) 233-261.
    • (1983) Nucl. Phys. B , vol.219 , pp. 233-261
    • Lüscher, M.1
  • 6
    • 3042586000 scopus 로고
    • A non-perturbative analysis in finite volume gauge theory
    • [6] J. Koller and P. van Baal, A non-perturbative analysis in finite volume gauge theory, Nucl. Phys. B 302 (1988) 1-95.
    • (1988) Nucl. Phys. B , vol.302 , pp. 1-95
    • Koller, J.1    Van Baal, P.2
  • 7
    • 0000406526 scopus 로고
    • Operator ordering and feynman rules
    • [7] N.H. Christ and T.D. Lee, Operator ordering and Feynman rules, Phys. Rev. D 22 (1980) 939-959.
    • (1980) Phys. Rev. D , vol.22 , pp. 939-959
    • Christ, N.H.1    Lee, T.D.2
  • 8
    • 0001417103 scopus 로고
    • More (thoughts on) Gribov copies
    • [8] P. van Baal, More (thoughts on) Gribov copies, Nucl. Phys. B 369 (1992) 259-275.
    • (1992) Nucl. Phys. B , vol.369 , pp. 259-275
    • Van Baal, P.1
  • 9
    • 0000297067 scopus 로고
    • Zooming-in on the SU(2) fundamental domain
    • [9] P. van Baal and B. van den Heuvel, Zooming-in on the SU(2) fundamental domain, Nucl. Phys. B 417 (1994) 215-237.
    • (1994) Nucl. Phys. B , vol.417 , pp. 215-237
    • Van Baal, P.1    Van Den Heuvel, B.2
  • 10
    • 0001563654 scopus 로고
    • The qualitative behavior of Yang-Mills theory in 2+1 dimensions
    • [10] R.P. Feynman, The qualitative behavior of Yang-Mills theory in 2+1 dimensions, Nucl. Phys. B 188 (1981) 479-512.
    • (1981) Nucl. Phys. B , vol.188 , pp. 479-512
    • Feynman, R.P.1
  • 11
    • 0042539066 scopus 로고    scopus 로고
    • On the origin of the mass gap for non-Abelian gauge theories in (2 + 1) dimensions
    • [11] D. Karabali and V.P. Nair, On the origin of the mass gap for non-Abelian gauge theories in (2 + 1) dimensions, Phys. Lett. B 379 (1996) 141-147.
    • (1996) Phys. Lett. B , vol.379 , pp. 141-147
    • Karabali, D.1    Nair, V.P.2
  • 12
    • 32644441762 scopus 로고
    • Conservation of isotopic spin and isotopic gauge invariance
    • [12] C.N. Yang and R.L. Mills, Conservation of isotopic spin and isotopic gauge invariance, Phys. Rev. 96 (1954) 191-195.
    • (1954) Phys. Rev. , vol.96 , pp. 191-195
    • Yang, C.N.1    Mills, R.L.2
  • 13
    • 0002047305 scopus 로고
    • Canonical quantization of non-abelian gauge field theories and Feynman rules
    • [13] H. Cheng and E.-C. Tsai, Canonical quantization of non-abelian gauge field theories and Feynman rules, Chin. J. of Phys. 25 (1987) 95-128.
    • (1987) Chin. J. of Phys. , vol.25 , pp. 95-128
    • Cheng, H.1    Tsai, E.-C.2
  • 14
    • 0010129980 scopus 로고
    • Quantization of non-abelian gauge theories
    • [14] V.N. Gribov, Quantization of non-abelian gauge theories, Nucl. Phys. B 139 (1978) 1-19.
    • (1978) Nucl. Phys. B , vol.139 , pp. 1-19
    • Gribov, V.N.1
  • 15
    • 35949018352 scopus 로고
    • Introduction to the Yang-Mills quantum theory
    • [15] R. Jackiw, Introduction to the Yang-Mills quantum theory, Rev. Mod. Phys. 52 (1980) 661-673.
    • (1980) Rev. Mod. Phys. , vol.52 , pp. 661-673
    • Jackiw, R.1
  • 16
    • 0001988542 scopus 로고
    • Some remarks on the Gribov ambiguity
    • [16] I.M. Singer, Some remarks on the Gribov ambiguity, Commun. Math. Phys. 60 (1978) 7-12.
    • (1978) Commun. Math. Phys. , vol.60 , pp. 7-12
    • Singer, I.M.1
  • 17
    • 37549029101 scopus 로고
    • Phase space of mechanical systems with a gauge group
    • [17] L.V. Prokhorov and S.V. Shabanov, Phase space of mechanical systems with a gauge group, Sov. Phys. Usp. 34 (1991) 108-140.
    • (1991) Sov. Phys. Usp. , vol.34 , pp. 108-140
    • Prokhorov, L.V.1    Shabanov, S.V.2
  • 18
    • 0031097817 scopus 로고    scopus 로고
    • Hamiltonian approach to the Gribov problem
    • [18] T. Heinzl, Hamiltonian approach to the Gribov problem, Nucl. Phys. B (Proc. Suppl.) 54A (1997) 194-197.
    • (1997) Nucl. Phys. B (Proc. Suppl.) , vol.54 A , pp. 194-197
    • Heinzl, T.1
  • 19
    • 0030589748 scopus 로고    scopus 로고
    • Partially gauge invariant field configurations and the Gribov horizon in SU(2) gauge field theory
    • [19] H. Yabuki, Partially gauge invariant field configurations and the Gribov horizon in SU(2) gauge field theory, Ann. Phys. 252 (1996) 413-421.
    • (1996) Ann. Phys. , vol.252 , pp. 413-421
    • Yabuki, H.1
  • 20
    • 0001196451 scopus 로고
    • The QCD-Hamiltonian in the polar representation
    • [20] Yu.A. Simonov, The QCD-Hamiltonian in the polar representation, Sov. J. Nucl. Phys. 41 (1985) 835-841.
    • (1985) Sov. J. Nucl. Phys. , vol.41 , pp. 835-841
    • Simonov, Yu.A.1
  • 21
    • 0010187649 scopus 로고
    • Yang-Mills fields and Riemannian geometry
    • [21] P.E. Haagensen and K. Johnson, Yang-Mills fields and Riemannian geometry, Nucl. Phys. B 439 (1995) 597-616.
    • (1995) Nucl. Phys. B , vol.439 , pp. 597-616
    • Haagensen, P.E.1    Johnson, K.2
  • 22
    • 85033543411 scopus 로고
    • Global issues in gauge fixing
    • D. Diakonov, ed., Trento, Italy, 10-29 July, 1995, INLO-PUB-19/95
    • [22] P. van Baal, Global issues in gauge fixing, in D. Diakonov, ed., International workshop on nonperturbative approaches to QCD, Trento, Italy, 10-29 July, 1995, INLO-PUB-19/95 (1995) pp. 4-23.
    • (1995) International Workshop on Nonperturbative Approaches to QCD , pp. 4-23
    • Van Baal, P.1
  • 23
    • 4244133825 scopus 로고
    • Fundamental modular region, Boltzmann factor and area law in lattice theory
    • [23] D. Zwanziger, Fundamental modular region, Boltzmann factor and area law in lattice theory, Nucl. Phys. B 412 (1994) 657-730.
    • (1994) Nucl. Phys. B , vol.412 , pp. 657-730
    • Zwanziger, D.1
  • 24
    • 0031550450 scopus 로고    scopus 로고
    • Lattice Coulomb Hamiltonian and static color Coulomb field
    • [24] D. Zwanziger, Lattice Coulomb Hamiltonian and static color Coulomb field, Nucl. Phys. B 485 (1997) 185-240.
    • (1997) Nucl. Phys. B , vol.485 , pp. 185-240
    • Zwanziger, D.1
  • 25
    • 0010073307 scopus 로고
    • A variational principle for the Lorentz condition and restriction of the domain of path integration in non-abelian gauge theory
    • [25] V.A. Franke and M.A. Semenov-Tyan-Shanskii, A variational principle for the Lorentz condition and restriction of the domain of path integration in non-abelian gauge theory, J. Sov. Math. 34 (1986) 1999.
    • (1986) J. Sov. Math. , vol.34 , pp. 1999
    • Franke, V.A.1    Semenov-Tyan-Shanskii, M.A.2
  • 26
    • 0010073090 scopus 로고
    • Gribov ambiguities and quantization in the axial gauge
    • A.H. Guth, K. Huang and R.L. Jaffe, eds. MIT press, Cambridge, MA
    • [26] W.I. Weisberger, Gribov ambiguities and quantization in the axial gauge, in Asymptotic Realms of Physics, A.H. Guth, K. Huang and R.L. Jaffe, eds. (MIT press, Cambridge, MA, 1983) pp. 162-185.
    • (1983) Asymptotic Realms of Physics , pp. 162-185
    • Weisberger, W.I.1
  • 27
    • 0000865757 scopus 로고
    • Topology of the gauge condition and new confinement phases in nonabelian gauge theories
    • [27] G. 't Hooft, Topology of the gauge condition and new confinement phases in nonabelian gauge theories, Nucl. Phys. B 190 (1981) 455.
    • (1981) Nucl. Phys. B , vol.190 , pp. 455
    • 'T Hooft, G.1
  • 28
    • 0000078001 scopus 로고    scopus 로고
    • Dual superconductor scenario of confinement: A systematic study of Gribov copy effects
    • [28] G.S. Bali, V. Bornyakov, M. Müller-Preussker and K. Schilling, Dual superconductor scenario of confinement: a systematic study of Gribov copy effects, Phys. Rev. D 54 (1996) 2863-2875.
    • (1996) Phys. Rev. D , vol.54 , pp. 2863-2875
    • Bali, G.S.1    Bornyakov, V.2    Müller-Preussker, M.3    Schilling, K.4
  • 29
    • 0000230390 scopus 로고    scopus 로고
    • Gribov copies in the maximally abelian gauge and confinement
    • [29] A. Hart and M. Teper, Gribov copies in the maximally abelian gauge and confinement, Phys. Rev. D 55 (1997) 3756-3767.
    • (1997) Phys. Rev. D , vol.55 , pp. 3756-3767
    • Hart, A.1    Teper, M.2
  • 30
    • 0030584574 scopus 로고    scopus 로고
    • A soluble gauge model with Gribov-type copies
    • [30] R. Friedberg, T.D. Lee, Y. Pang and H.C. Ren, A soluble gauge model with Gribov-type copies, Ann. Phys. 246 (1996) 381-445.
    • (1996) Ann. Phys. , vol.246 , pp. 381-445
    • Friedberg, R.1    Lee, T.D.2    Pang, Y.3    Ren, H.C.4
  • 32
    • 85106775200 scopus 로고
    • Generalized Hamiltonian dynamics
    • [32] P.A.M. Dirac, Generalized Hamiltonian dynamics, Can. J. Math. 2 (1950) 129-148.
    • (1950) Can. J. Math. , vol.2 , pp. 129-148
    • Dirac, P.A.M.1
  • 33
    • 0000866791 scopus 로고
    • The geometrical interpretation of the Faddeev-Popov determinant
    • [33] O. Babelon and C.-M. Viallet, The geometrical interpretation of the Faddeev-Popov determinant, Phys. Lett. B 85 (1979) 246-248.
    • (1979) Phys. Lett. B , vol.85 , pp. 246-248
    • Babelon, O.1    Viallet, C.-M.2
  • 34
    • 0001000107 scopus 로고
    • The Riemannian geometry of the configuration space of gauge theories
    • [34] O. Babelon and C.-M. Viallet, The Riemannian geometry of the configuration space of gauge theories, Commun. Math. Phys. 81 (1981) 515-525.
    • (1981) Commun. Math. Phys. , vol.81 , pp. 515-525
    • Babelon, O.1    Viallet, C.-M.2
  • 35
    • 0003482664 scopus 로고
    • Institute of Physics Publishing, Bristol, Philadelphia
    • [35] M. Nakahara, Geometry, Topology and Physics (Institute of Physics Publishing, Bristol, Philadelphia, 1992).
    • (1992) Geometry, Topology and Physics
    • Nakahara, M.1
  • 39
    • 0000807268 scopus 로고
    • Yang-Mills quantum mechanics
    • [39] G.K. Savvidy, Yang-Mills quantum mechanics, Phys. Lett. B 159 (1985) 325-329.
    • (1985) Phys. Lett. B , vol.159 , pp. 325-329
    • Savvidy, G.K.1
  • 40
    • 38249033842 scopus 로고
    • The energy of two color charges in the strong coupling limit of QCD in the polar representation
    • [40] F. Palumbo, The energy of two color charges in the strong coupling limit of QCD in the polar representation, Phys. Lett. B 199 (1987) 440-442.
    • (1987) Phys. Lett. B , vol.199 , pp. 440-442
    • Palumbo, F.1
  • 41
    • 0000977482 scopus 로고
    • Quantum KAM technique and Yang-Mills quantum mechanics
    • [41] I. Halperin, Quantum KAM technique and Yang-Mills quantum mechanics, Ann. Phys. 244 (1995) 445-475.
    • (1995) Ann. Phys. , vol.244 , pp. 445-475
    • Halperin, I.1
  • 42
    • 0001604781 scopus 로고
    • Classical Yang-Mills solutions and iterative maps
    • [42] S.J. Chang, Classical Yang-Mills solutions and iterative maps, Phys. Rev. D 29 (1984) 259-268.
    • (1984) Phys. Rev. D , vol.29 , pp. 259-268
    • Chang, S.J.1
  • 43
    • 0000553679 scopus 로고
    • Classical, semiclassical and quantum mechanics of a globally chaotic system: Integrability in the adiabatic approximation
    • [43] C.C. Martens, R.L. Waterland and W.P. Reinhardt, Classical, semiclassical and quantum mechanics of a globally chaotic system: Integrability in the adiabatic approximation, J. Chem. Phys. 90 (1979) 2328-2337.
    • (1979) J. Chem. Phys. , vol.90 , pp. 2328-2337
    • Martens, C.C.1    Waterland, R.L.2    Reinhardt, W.P.3
  • 44
    • 0002428016 scopus 로고
    • Unconstrained temporal gauge for Yang-Mills theory
    • [44] J. Goldstone and R. Jackiw, Unconstrained temporal gauge for Yang-Mills theory, Phys. Lett. B 74 (1978) 81-84.
    • (1978) Phys. Lett. B , vol.74 , pp. 81-84
    • Goldstone, J.1    Jackiw, R.2
  • 45
    • 0000094241 scopus 로고
    • Numerical study of gauge theories on a lattice in the polar representation
    • [45] F. Palumbo, M.I. Polykarpov and A.I. Veselov, Numerical study of gauge theories on a lattice in the polar representation, Phys. Lett. B 258 (1991) 189-194.
    • (1991) Phys. Lett. B , vol.258 , pp. 189-194
    • Palumbo, F.1    Polykarpov, M.I.2    Veselov, A.I.3
  • 46
    • 21144477184 scopus 로고
    • Influence of intermittency on quantum spectra
    • [46] P. Dahlqvist, Influence of intermittency on quantum spectra, J. Phys. A 25 (1992) 6265-6282.
    • (1992) J. Phys. A , vol.25 , pp. 6265-6282
    • Dahlqvist, P.1
  • 47
    • 0001728745 scopus 로고
    • Some quantum operators with discrete spectrum but classically continuous spectrum
    • [47] B. Simon, Some quantum operators with discrete spectrum but classically continuous spectrum, Ann. Phys. 146 (1983) 209-220.
    • (1983) Ann. Phys. , vol.146 , pp. 209-220
    • Simon, B.1
  • 48
    • 0002852917 scopus 로고
    • Orbifolds as configuration spaces of systems with gauge symmetries
    • [48] C. Emmrich and H. Römer, Orbifolds as configuration spaces of systems with gauge symmetries, Commun. Math. Phys. 129 (1990) 69-90.
    • (1990) Commun. Math. Phys. , vol.129 , pp. 69-90
    • Emmrich, C.1    Römer, H.2
  • 51
    • 0000605311 scopus 로고
    • Recursion equations in gauge field theories
    • [51] A.A. Migdal, Recursion equations in gauge field theories, Sov. Phys. JETP 42 (1975) 413-418.
    • (1975) Sov. Phys. JETP , vol.42 , pp. 413-418
    • Migdal, A.A.1
  • 52
    • 0040124932 scopus 로고
    • Yang-Mills theory on a cylinder
    • [52] S.G. Rajeev, Yang-Mills theory on a cylinder, Phys. Lett. B 212 (1988) 203-205.
    • (1988) Phys. Lett. B , vol.212 , pp. 203-205
    • Rajeev, S.G.1
  • 53
    • 0000755653 scopus 로고
    • Gribov ambiguity and non-trivial vacuum structure of gauge theories on a cylinder
    • [53] E. Langmann and G.W. Semenoff, Gribov ambiguity and non-trivial vacuum structure of gauge theories on a cylinder, Phys. Lett. B 303 (1993) 303-307.
    • (1993) Phys. Lett. B , vol.303 , pp. 303-307
    • Langmann, E.1    Semenoff, G.W.2
  • 54
    • 0007191114 scopus 로고
    • Phase space structure and the path integral for gauge theories on a cylinder
    • [54] S.V. Shabanov, Phase space structure and the path integral for gauge theories on a cylinder, Phys. Lett. B 318 (1993) 323-330.
    • (1993) Phys. Lett. B , vol.318 , pp. 323-330
    • Shabanov, S.V.1
  • 55
    • 0010118616 scopus 로고    scopus 로고
    • The path integral for 1 + 1-dimensional QCD
    • [55] O. Jahn, T. Kraus and M. Seeger, The path integral for 1 + 1-dimensional QCD, Int. J. Mod. Phys. A 12 (1997) 4445-4459.
    • (1997) Int. J. Mod. Phys. A , vol.12 , pp. 4445-4459
    • Jahn, O.1    Kraus, T.2    Seeger, M.3
  • 56
    • 0010887798 scopus 로고
    • A property of electric and magnetic flux in non-abelian gauge theories
    • [56] G. 't Hooft, A property of electric and magnetic flux in non-abelian gauge theories, Nucl. Phys. B 153 (1979) 141-160.
    • (1979) Nucl. Phys. B , vol.153 , pp. 141-160
    • 'T Hooft, G.1
  • 57
    • 0001124093 scopus 로고
    • Consistent axial-like gauge fixing on hypertori
    • [57] E. Langmann, M. Salmhofer and A. Kovner, Consistent axial-like gauge fixing on hypertori, Mod. Phys. Lett. A 9 (1994) 2913-2926.
    • (1994) Mod. Phys. Lett. A , vol.9 , pp. 2913-2926
    • Langmann, E.1    Salmhofer, M.2    Kovner, A.3
  • 58
    • 0001639722 scopus 로고
    • QCD in the axial gauge representation
    • [58] F. Lenz, H.W.L. Naus and M. Thies. QCD in the axial gauge representation, Ann. Phys. 233 (1994) 317-373.
    • (1994) Ann. Phys. , vol.233 , pp. 317-373
    • Lenz, F.1    Naus, H.W.L.2    Thies, M.3
  • 59
    • 0002353761 scopus 로고
    • Inequivalent quantizations of Yang-Mills theory on a cylinder
    • [59] L. Chandar and E. Ercolessi, Inequivalent quantizations of Yang-Mills theory on a cylinder, Nucl. Phys. B 426 (1994) 94-106.
    • (1994) Nucl. Phys. B , vol.426 , pp. 94-106
    • Chandar, L.1    Ercolessi, E.2
  • 60
    • 84990635781 scopus 로고
    • Dynamics on the group manifold and path integral
    • [60] M.S. Marinov and M.V. Terentyev, Dynamics on the group manifold and path integral, Fortschr. Phys. 27 (1979) 511-545.
    • (1979) Fortschr. Phys. , vol.27 , pp. 511-545
    • Marinov, M.S.1    Terentyev, M.V.2
  • 61
    • 0001607366 scopus 로고
    • The schwinger model and its axial anomaly
    • [61] N.S. Manton, The Schwinger model and its axial anomaly, Ann. Phys. 159 (1985) 220-251.
    • (1985) Ann. Phys. , vol.159 , pp. 220-251
    • Manton, N.S.1
  • 62
    • 0001119255 scopus 로고
    • On the configuration space of gauge theories
    • [62] J. Fuchs, M.G. Schmidt and C. Schweigert, On the configuration space of gauge theories, Nucl. Phys. B 426 (1994) 107-128.
    • (1994) Nucl. Phys. B , vol.426 , pp. 107-128
    • Fuchs, J.1    Schmidt, M.G.2    Schweigert, C.3
  • 63
    • 0000910616 scopus 로고
    • Two classes of zeros of the Faddeev-Popov determinant
    • [63] H. Yabuki, Two classes of zeros of the Faddeev-Popov determinant, Nucl. Phys. B 318 (1989) 464-482.
    • (1989) Nucl. Phys. B , vol.318 , pp. 464-482
    • Yabuki, H.1


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