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Thomas-Fermi approximation to functional determinants in external gauge potentials
Phys. Rev. D 33, 1113 – Published 15 February, 1986
DOI: https://doi.org/10.1103/PhysRevD.33.1113
Abstract
The functional determinant and vacuum expectation value of a fermion field in an external gauge potential are evaluated in a Thomas-Fermi approximation. This approximation should be valid for slowly varying potentials. The expressions are readily transcribable to a lattice. We do not encounter the problem of doubling of fermionic degrees of freedom.
References (8)
- For a recent discussion of problems involving fermion integrations, see D. Weingarten, IBM Thomas J. Watson Research Center report (unpublished).
- H. Hamber and G. Parisi, Phys. Rev. Lett. 47, 1972 (1981); E. Marinari, G. Parisi and C. Rebbi, ibid. 47, 1975 (1981).
- K. G. Wilson, in New Phenomena in Subnuclear Physics, proceedings of the 14th course of the International School of Subnuclear Physics, Erice, 1975, edited by A. Zichichi (Plenum, New York, 1977).
- J. B. Kogut and L. Susskind, Phys. Rev. D 11, 395 (1979).
- L. Brown and W. Weisberger, Nucl. Phys. B157, 285 (1979).
- M. Bander, Ann. Phys. (N.Y.) 144, 1 (1982).
- T. T. Wu and C. N. Yang, Phys. Rev. D 12, 3843 (1975).
- See Handbook of Mathematical Functions, edited by M. Abramowitz and I. E. Stegun (U.S. GPO, Washington, D.C., 1964), especially Chap. 5.