- Access by Xinjiang University
Localized solutions for the massive Thirring model in the presence of an external electrostatic field
Phys. Rev. D 14, 2602 – Published 15 November, 1976
DOI: https://doi.org/10.1103/PhysRevD.14.2602
Abstract
We investigate the classical equations of motion for the massive Thirring model in one space and one time dimension in the presence of an external electrostatic field. It is shown that stationary-confined solutions are acceptable for this model if a self-consistency condition is satisfied. We suggest the possibility of solving the equations of motion using a perturbative approach for the electromagnetic interaction. Some properties of the first-order contribution to the solution, which are fully independent of the external potential shape, are exhibited. A specific example is also developed and analyzed.
References (9)
- S. Y. Lee, T. K. Kuo, and A. Gavrielides, Phys. Rev. D 12, 2249 (1975)
- W. Thirring, Ann. Phys. (N.Y.) 3, 91 (1958)
Omitted endnote
- N. N. Bogoliubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields (Wiley, New York, 1959)
Omitted endnote
Omitted endnote
Omitted endnote
- I. Bialynicki-Birula and J. Mycielski, University of Pittsburgh, Report No. PITT-143, 1975 (unpublished)
Omitted endnote