- Access by Xinjiang University
Exact ground state and string tension in (1 + 1)-dimensional lattice gauge theories
Phys. Rev. D 41, 564 – Published 15 January, 1990
DOI: https://doi.org/10.1103/PhysRevD.41.564
Abstract
A new form of Hamiltonian of (1 + 1)-dimensional lattice gauge theory with fermions is proposed and the exact ground state is found. The string tension is calculated exactly. The result shows that for both massless and massive theories quarks are confined by a linear potential and no phase transition occurs when the lattice spacing goes to zero.
References (9)
- S. H. Guo, J. M. Liu, and Q. Z. Chen, Chin. Phys. Lett. 2, 409 (1985)
- S. H. Guo, W. H. Zheng, and J. M. Liu, Phys. Rev. D 38, 2591 (1988)
- R. Roskies, Phys. Rev. D 39, 3177 (1989) S. H. Guo and W. H. Zheng, ibid.39 (to be published) A. Duncan and R. Roskies, ibid. 40, 1268 (1989)
- J. Lowenstein and J. Swieca, Ann. Phys. (N.Y.) 68, 72 (1971) S. Coleman, R. Jackiw, and L. Susskind, ibid. 93, 267 (1975) S. Coleman, ibid. 101, 239 (1976) R. E. Gamboa Saravi et al., Nucl. Phys. B185, 239 (1981)
- J. Schwinger, Phys. Rev. 128, 2425 (1962)
- O. Martin and S. Otto, Nucl. Phys. B203, 193 (1982) J. Ranft and S. Schiller, Phys. Lett. 122B, 403 (1983) H. Gausterer and J. R. Klauder, Phys. Rev. Lett. 56, 306 (1986) M. Hellmund, Phys. Lett. 166B, 214 (1986)
- J. Kogut, Rev. Mod. Phys. 55, 775 (1983)
- J. Kogut and L. Susskind, Phys. Rev. D 11, 3594 (1975)
- L. Susskind, Phys. Rev. D 16, 3031 (1977)