Various properties of compact QED and confining strings

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 428, Issue 3-4, 1998, Pages 346-351

  Antonov, D V ^a,b  

^a HUMBOLDT UNIVERSITY   (Germany)

^b INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

Author keywords

Effective potential; Quantum electrodynamics; Saddle point approximation; Sine Gordon model; String model

Indexed keywords

EID: 0346224964     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-2693(98)00419-5     Document Type: Article

References (20)

1. K.G. Wilson, Phys. Rev. D 10 (1974) 2445; T. Banks, R. Myerson, J. Kogut, Nucl. Phys. B 129 (1977) 493; M. Peskin, Ann. Phys. 113 (1978) 122; J.L. Cardy, Nucl. Phys. B 170 (1980) 369; T.A. De Grand, D. Toussaint, Phys. Rev. D 22 (1980) 2478; H. Kleinert, Gauge Fields in Condensed Matter, vol. 1: Superflow and Vortex Lines. Disorder Fields, Phase Transitions, World Scientific Publishing Co., Singapore, 1989; P. Cea, L. Cosmai, Phys. Lett. B 249 (1990) 114; H. Kleinert, Phys. Lett. B 246 (1990) 127; Int. J. Mod. Phys. A 7 (1992) 4693; Phys. Lett. B 293 (1992) 168; K. Lee, Phys. Rev. D 48 (1993) 2493; E.T. Akhmedov, M.N. Chernodub, M.I. Polikarpov, M.A. Zubkov, Phys. Rev. D 53 (1996) 2087; E.T. Akhmedov, JETP Lett. 64 (1996) 82.
2. K.G. Wilson, Phys. Rev. D 10 (1974) 2445; T. Banks, R. Myerson, J. Kogut, Nucl. Phys. B 129 (1977) 493; M. Peskin, Ann. Phys. 113 (1978) 122; J.L. Cardy, Nucl. Phys. B 170 (1980) 369; T.A. De Grand, D. Toussaint, Phys. Rev. D 22 (1980) 2478; H. Kleinert, Gauge Fields in Condensed Matter, vol. 1: Superflow and Vortex Lines. Disorder Fields, Phase Transitions, World Scientific Publishing Co., Singapore, 1989; P. Cea, L. Cosmai, Phys. Lett. B 249 (1990) 114; H. Kleinert, Phys. Lett. B 246 (1990) 127; Int. J. Mod. Phys. A 7 (1992) 4693; Phys. Lett. B 293 (1992) 168; K. Lee, Phys. Rev. D 48 (1993) 2493; E.T. Akhmedov, M.N. Chernodub, M.I. Polikarpov, M.A. Zubkov, Phys. Rev. D 53 (1996) 2087; E.T. Akhmedov, JETP Lett. 64 (1996) 82.
3. K.G. Wilson, Phys. Rev. D 10 (1974) 2445; T. Banks, R. Myerson, J. Kogut, Nucl. Phys. B 129 (1977) 493; M. Peskin, Ann. Phys. 113 (1978) 122; J.L. Cardy, Nucl. Phys. B 170 (1980) 369; T.A. De Grand, D. Toussaint, Phys. Rev. D 22 (1980) 2478; H. Kleinert, Gauge Fields in Condensed Matter, vol. 1: Superflow and Vortex Lines. Disorder Fields, Phase Transitions, World Scientific Publishing Co., Singapore, 1989; P. Cea, L. Cosmai, Phys. Lett. B 249 (1990) 114; H. Kleinert, Phys. Lett. B 246 (1990) 127; Int. J. Mod. Phys. A 7 (1992) 4693; Phys. Lett. B 293 (1992) 168; K. Lee, Phys. Rev. D 48 (1993) 2493; E.T. Akhmedov, M.N. Chernodub, M.I. Polikarpov, M.A. Zubkov, Phys. Rev. D 53 (1996) 2087; E.T. Akhmedov, JETP Lett. 64 (1996) 82.
4. K.G. Wilson, Phys. Rev. D 10 (1974) 2445; T. Banks, R. Myerson, J. Kogut, Nucl. Phys. B 129 (1977) 493; M. Peskin, Ann. Phys. 113 (1978) 122; J.L. Cardy, Nucl. Phys. B 170 (1980) 369; T.A. De Grand, D. Toussaint, Phys. Rev. D 22 (1980) 2478; H. Kleinert, Gauge Fields in Condensed Matter, vol. 1: Superflow and Vortex Lines. Disorder Fields, Phase Transitions, World Scientific Publishing Co., Singapore, 1989; P. Cea, L. Cosmai, Phys. Lett. B 249 (1990) 114; H. Kleinert, Phys. Lett. B 246 (1990) 127; Int. J. Mod. Phys. A 7 (1992) 4693; Phys. Lett. B 293 (1992) 168; K. Lee, Phys. Rev. D 48 (1993) 2493; E.T. Akhmedov, M.N. Chernodub, M.I. Polikarpov, M.A. Zubkov, Phys. Rev. D 53 (1996) 2087; E.T. Akhmedov, JETP Lett. 64 (1996) 82.
5. K.G. Wilson, Phys. Rev. D 10 (1974) 2445; T. Banks, R. Myerson, J. Kogut, Nucl. Phys. B 129 (1977) 493; M. Peskin, Ann. Phys. 113 (1978) 122; J.L. Cardy, Nucl. Phys. B 170 (1980) 369; T.A. De Grand, D. Toussaint, Phys. Rev. D 22 (1980) 2478; H. Kleinert, Gauge Fields in Condensed Matter, vol. 1: Superflow and Vortex Lines. Disorder Fields, Phase Transitions, World Scientific Publishing Co., Singapore, 1989; P. Cea, L. Cosmai, Phys. Lett. B 249 (1990) 114; H. Kleinert, Phys. Lett. B 246 (1990) 127; Int. J. Mod. Phys. A 7 (1992) 4693; Phys. Lett. B 293 (1992) 168; K. Lee, Phys. Rev. D 48 (1993) 2493; E.T. Akhmedov, M.N. Chernodub, M.I. Polikarpov, M.A. Zubkov, Phys. Rev. D 53 (1996) 2087; E.T. Akhmedov, JETP Lett. 64 (1996) 82.
6. K.G. Wilson, Phys. Rev. D 10 (1974) 2445; T. Banks, R. Myerson, J. Kogut, Nucl. Phys. B 129 (1977) 493; M. Peskin, Ann. Phys. 113 (1978) 122; J.L. Cardy, Nucl. Phys. B 170 (1980) 369; T.A. De Grand, D. Toussaint, Phys. Rev. D 22 (1980) 2478; H. Kleinert, Gauge Fields in Condensed Matter, vol. 1: Superflow and Vortex Lines. Disorder Fields, Phase Transitions, World Scientific Publishing Co., Singapore, 1989; P. Cea, L. Cosmai, Phys. Lett. B 249 (1990) 114; H. Kleinert, Phys. Lett. B 246 (1990) 127; Int. J. Mod. Phys. A 7 (1992) 4693; Phys. Lett. B 293 (1992) 168; K. Lee, Phys. Rev. D 48 (1993) 2493; E.T. Akhmedov, M.N. Chernodub, M.I. Polikarpov, M.A. Zubkov, Phys. Rev. D 53 (1996) 2087; E.T. Akhmedov, JETP Lett. 64 (1996) 82.
7. K.G. Wilson, Phys. Rev. D 10 (1974) 2445; T. Banks, R. Myerson, J. Kogut, Nucl. Phys. B 129 (1977) 493; M. Peskin, Ann. Phys. 113 (1978) 122; J.L. Cardy, Nucl. Phys. B 170 (1980) 369; T.A. De Grand, D. Toussaint, Phys. Rev. D 22 (1980) 2478; H. Kleinert, Gauge Fields in Condensed Matter, vol. 1: Superflow and Vortex Lines. Disorder Fields, Phase Transitions, World Scientific Publishing Co., Singapore, 1989; P. Cea, L. Cosmai, Phys. Lett. B 249 (1990) 114; H. Kleinert, Phys. Lett. B 246 (1990) 127; Int. J. Mod. Phys. A 7 (1992) 4693; Phys. Lett. B 293 (1992) 168; K. Lee, Phys. Rev. D 48 (1993) 2493; E.T. Akhmedov, M.N. Chernodub, M.I. Polikarpov, M.A. Zubkov, Phys. Rev. D 53 (1996) 2087; E.T. Akhmedov, JETP Lett. 64 (1996) 82.
8. K.G. Wilson, Phys. Rev. D 10 (1974) 2445; T. Banks, R. Myerson, J. Kogut, Nucl. Phys. B 129 (1977) 493; M. Peskin, Ann. Phys. 113 (1978) 122; J.L. Cardy, Nucl. Phys. B 170 (1980) 369; T.A. De Grand, D. Toussaint, Phys. Rev. D 22 (1980) 2478; H. Kleinert, Gauge Fields in Condensed Matter, vol. 1: Superflow and Vortex Lines. Disorder Fields, Phase Transitions, World Scientific Publishing Co., Singapore, 1989; P. Cea, L. Cosmai, Phys. Lett. B 249 (1990) 114; H. Kleinert, Phys. Lett. B 246 (1990) 127; Int. J. Mod. Phys. A 7 (1992) 4693; Phys. Lett. B 293 (1992) 168; K. Lee, Phys. Rev. D 48 (1993) 2493; E.T. Akhmedov, M.N. Chernodub, M.I. Polikarpov, M.A. Zubkov, Phys. Rev. D 53 (1996) 2087; E.T. Akhmedov, JETP Lett. 64 (1996) 82.
9. K.G. Wilson, Phys. Rev. D 10 (1974) 2445; T. Banks, R. Myerson, J. Kogut, Nucl. Phys. B 129 (1977) 493; M. Peskin, Ann. Phys. 113 (1978) 122; J.L. Cardy, Nucl. Phys. B 170 (1980) 369; T.A. De Grand, D. Toussaint, Phys. Rev. D 22 (1980) 2478; H. Kleinert, Gauge Fields in Condensed Matter, vol. 1: Superflow and Vortex Lines. Disorder Fields, Phase Transitions, World Scientific Publishing Co., Singapore, 1989; P. Cea, L. Cosmai, Phys. Lett. B 249 (1990) 114; H. Kleinert, Phys. Lett. B 246 (1990) 127; Int. J. Mod. Phys. A 7 (1992) 4693; Phys. Lett. B 293 (1992) 168; K. Lee, Phys. Rev. D 48 (1993) 2493; E.T. Akhmedov, M.N. Chernodub, M.I. Polikarpov, M.A. Zubkov, Phys. Rev. D 53 (1996) 2087; E.T. Akhmedov, JETP Lett. 64 (1996) 82.
10. K.G. Wilson, Phys. Rev. D 10 (1974) 2445; T. Banks, R. Myerson, J. Kogut, Nucl. Phys. B 129 (1977) 493; M. Peskin, Ann. Phys. 113 (1978) 122; J.L. Cardy, Nucl. Phys. B 170 (1980) 369; T.A. De Grand, D. Toussaint, Phys. Rev. D 22 (1980) 2478; H. Kleinert, Gauge Fields in Condensed Matter, vol. 1: Superflow and Vortex Lines. Disorder Fields, Phase Transitions, World Scientific Publishing Co., Singapore, 1989; P. Cea, L. Cosmai, Phys. Lett. B 249 (1990) 114; H. Kleinert, Phys. Lett. B 246 (1990) 127; Int. J. Mod. Phys. A 7 (1992) 4693; Phys. Lett. B 293 (1992) 168; K. Lee, Phys. Rev. D 48 (1993) 2493; E.T. Akhmedov, M.N. Chernodub, M.I. Polikarpov, M.A. Zubkov, Phys. Rev. D 53 (1996) 2087; E.T. Akhmedov, JETP Lett. 64 (1996) 82.
11. K.G. Wilson, Phys. Rev. D 10 (1974) 2445; T. Banks, R. Myerson, J. Kogut, Nucl. Phys. B 129 (1977) 493; M. Peskin, Ann. Phys. 113 (1978) 122; J.L. Cardy, Nucl. Phys. B 170 (1980) 369; T.A. De Grand, D. Toussaint, Phys. Rev. D 22 (1980) 2478; H. Kleinert, Gauge Fields in Condensed Matter, vol. 1: Superflow and Vortex Lines. Disorder Fields, Phase Transitions, World Scientific Publishing Co., Singapore, 1989; P. Cea, L. Cosmai, Phys. Lett. B 249 (1990) 114; H. Kleinert, Phys. Lett. B 246 (1990) 127; Int. J. Mod. Phys. A 7 (1992) 4693; Phys. Lett. B 293 (1992) 168; K. Lee, Phys. Rev. D 48 (1993) 2493; E.T. Akhmedov, M.N. Chernodub, M.I. Polikarpov, M.A. Zubkov, Phys. Rev. D 53 (1996) 2087; E.T. Akhmedov, JETP Lett. 64 (1996) 82.
12. K.G. Wilson, Phys. Rev. D 10 (1974) 2445; T. Banks, R. Myerson, J. Kogut, Nucl. Phys. B 129 (1977) 493; M. Peskin, Ann. Phys. 113 (1978) 122; J.L. Cardy, Nucl. Phys. B 170 (1980) 369; T.A. De Grand, D. Toussaint, Phys. Rev. D 22 (1980) 2478; H. Kleinert, Gauge Fields in Condensed Matter, vol. 1: Superflow and Vortex Lines. Disorder Fields, Phase Transitions, World Scientific Publishing Co., Singapore, 1989; P. Cea, L. Cosmai, Phys. Lett. B 249 (1990) 114; H. Kleinert, Phys. Lett. B 246 (1990) 127; Int. J. Mod. Phys. A 7 (1992) 4693; Phys. Lett. B 293 (1992) 168; K. Lee, Phys. Rev. D 48 (1993) 2493; E.T. Akhmedov, M.N. Chernodub, M.I. Polikarpov, M.A. Zubkov, Phys. Rev. D 53 (1996) 2087; E.T. Akhmedov, JETP Lett. 64 (1996) 82.
13. K.G. Wilson, Phys. Rev. D 10 (1974) 2445; T. Banks, R. Myerson, J. Kogut, Nucl. Phys. B 129 (1977) 493; M. Peskin, Ann. Phys. 113 (1978) 122; J.L. Cardy, Nucl. Phys. B 170 (1980) 369; T.A. De Grand, D. Toussaint, Phys. Rev. D 22 (1980) 2478; H. Kleinert, Gauge Fields in Condensed Matter, vol. 1: Superflow and Vortex Lines. Disorder Fields, Phase Transitions, World Scientific Publishing Co., Singapore, 1989; P. Cea, L. Cosmai, Phys. Lett. B 249 (1990) 114; H. Kleinert, Phys. Lett. B 246 (1990) 127; Int. J. Mod. Phys. A 7 (1992) 4693; Phys. Lett. B 293 (1992) 168; K. Lee, Phys. Rev. D 48 (1993) 2493; E.T. Akhmedov, M.N. Chernodub, M.I. Polikarpov, M.A. Zubkov, Phys. Rev. D 53 (1996) 2087; E.T. Akhmedov, JETP Lett. 64 (1996) 82.
14. A.M. Polyakov, Nucl. Phys. B 120 (1977) 429.
15. A.M. Polyakov, Nucl. Phys. B 486 (1997) 23.
16. D.V. Antonov, D. Ebert, Yu.A. Simonov, Mod. Phys. Lett. A 11 (1996) 1905.
17. M.C. Diamantini, F. Quevedo, C.A. Trugenberger, Phys. Lett. B 396 (1997) 115; M.C. Diamantini, C.A. Trugenberger, preprints UGVA-DPT 1997/11-992 and hep-th/9712008, 1997.
18. M.C. Diamantini, F. Quevedo, C.A. Trugenberger, Phys. Lett. B 396 (1997) 115; M.C. Diamantini, C.A. Trugenberger, preprints UGVA-DPT 1997/11-992 and hep-th/9712008, 1997.
19. See e.g. M. Nakahara, Geometry, Topology, and Physics, England, London, 1990.
20. B.M. Barbashov, V.V. Nesterenko, A.M. Chervyakov, Teor. Mat. Fiz. 32 (1977) 336.