Abstract
We describe how the choice of an appropriate (“physical”) gauge leads to the solution of a nonperturbative problem in quantum electrodynamics: dynamical chiral symmetry breaking in QED in a constant magnetic field.
Similar content being viewed by others
REFERENCES
K. G. Wilson, Phys. Rev. D 10, 2445 (1974).
L. Chen, M. Belloni, and K. Haller, Phys. Rev. D 55, 2347 (1997); K. Haller, Gauge invariant QCD: An approach to long range color confining, Talk given at 4th Workshop on Quantum Chromodynamics, Paris, France, 1–6 June (1998) (hep-th/9808028).
P. Gaigg, W. Kummer, and M. Schweda (eds.), Physical and Nonstandard Gauges, Lecture Notes in Physics, No. 361, (Springer, Berlin, 1990).
K. Haller, Phys. Rev. D 36, 1830 (1987); Phys. Rev. D 36, 1839 (1987).
G.'t Hooft, Nucl. Phys. B 190 (FS3), 455 (1981).
V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Phys. Rev. Lett. 83, 1291 (1999); Nucl. Phys. B 563, 361 (1999).
V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Phys. Rev. Lett. 73, 3499 (1994); Phys. Rev. D 52, 4718 (1995); Phys. Lett. B 349, 477 (1995).
V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Phys. Rev. D 52, 4747 (1995).
V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Nucl. Phys. B 462, 249 (1996).
C. N. Leung, and Y. J. Ng, and A. W. Ackley, Phys. Rev. D 54, 4181 (1996). D.-S. Lee, C. N. Leung, and Y. J. Ng, Phys. Rev. D 55, 6504 (1997); Phys. Rev. D 57, 5224 (1998).
D. K. Hong, Y. Kim, and S.-J. Sin, Phys. Rev. D 54, 7879 (1996).
E. J. Ferrer and V. de la Incera, Phys. Rev. D 58, 065008 (1998).
V. P. Gusynin and A. V. Smilga, Phys. Lett. B 450, 267 (1999).
D. M. Gitman, E. S. Fradkin, and Sh. M. Shvartsman, in Quantum Electrodynamics with Unstable Vacuum, V. L. Ginzburg, ed. (Nova Science, Commack, NY, 1995).
J. Schwinger, Phys. Rev. D 82, 664 (1951).
D. K. Hong, Phys. Rev. D 57, 3759 (1998).
Yu. M. Loskutov and V. V. Skobelev, Phys. Lett. A 56, 151 (1976). G. Calucci and R. Ragazzon, J. Phys. A 27, 2161 (1994).
J. Schwinger, Phys. Rev. 125, 397 (1962).
Y. Frishman, in Particles, Quantum Fields and Statistical Mechanics, Lecture Notes in Physics, No. 32, M. Alexanian and A. Zepeda, eds. (Springer, Berlin, 1975).
V. A. Miransky, Dynamical Symmetry Breaking in Quantum Field Theory (World Scientific, Singapore, 1993).
G. Vafa and E. Witten, Nucl. Phys. B 234, 173 (1984).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gusynin, V.P., Miransky, V.A. & Shovkovy, I.A. Physical Gauge in the Problem of Dynamical Chiral Symmetry Breaking in QED in a Magnetic Field. Foundations of Physics 30, 349–357 (2000). https://doi.org/10.1023/A:1003605404461
Issue Date:
DOI: https://doi.org/10.1023/A:1003605404461