UNIFORM COMPONENTS OF A FIELD AND A CRITICAL BEHAVIOR OF FERMION CORRELATION FUNCTIONS IN A DISCRETESPACE-TIME MODEL
Abstract
We have studied the influence of uniform components of the electromagnetic field on fermion correlators (correlation functions) in the Coulomb phase of the U(1) model in the four-dimensional discrete space-time with a finite number of points. The uniform components of the field are shown to violate the necessary critical behavior of the fermion correlators. After elimination of the uniform electromagnetic field components with use of a gauge fixing procedure, the critical behavior of fermion correlators is restored.
References
1. Wilson K. Confinement of quarks // Phys. Rev. D. 1974. V. 10. P. 2445-2459.
2. DeGrand T., Toussaint D. Topological excitations and Monte Carlo simulation of Abelian gauge theory // Phys. Rev. D. 1980. V. 22. P. 2478-2489.
3. Montvay I., Muenster G. Quantum Fields on a Lattice. Cambridge University Press, 1994.
4. Nakamura A., Plewnia M. Gauge fixing ambiguity and photon propagators in compact U(1) lattice gauge theory // Phys. Lett. B. 1991. V. 255. P. 274-278.
5. Bogolubsky I., Mitrjushkin V., Mueller-Preussker M., Peter P. Lorentz gauge and Gribov ambiguity in the compact lattice U(1) theory // Phys. Lett. B. 1999. V. 458. P. 102-108.
6. Zverev N. Influence of the Uniform Components of the Gauge Field on the Fermion Correlation Functions in the Lattice U(1) Model // Phys. Scripta. V. 72. 2005. P. 19-22.
Review
Views:
58
Email this article 