Determinant of a new fermionic action on a lattice - (I)

Details Determinant of a new fermionic action on a lattice - (I) Determinant of a new fermionic action on a lattice - (I)

2000-01-12

arxiv.org/abs/hep-lat/0001011v5

Phys.Rev. D62 (2000) 074502; Erratum-ibid. D63 (2001) 079902

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, 7 figures

Scientific paper

10.1103/PhysRevD.62.074502

We investigate, analytically and numerically, the fermion determinant of a new action on a (1+1)-dimensional Euclidean lattice. In this formulation the discrete chiral symmetry is preserved and the number of fermion components is a half of that of Kogut-Susskind. In particular, we show that our fermion determinant is real and positive for U(1) gauge group under specific conditions, which correspond to gauge conditions on the infinite lattice. It is also shown that the determinant is real and positive for SU(N) gauge group without any condition.

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