Determinant of a new fermionic action on a lattice - (I)
High Energy Physics - Lattice
2014-11-17 v5
Abstract
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.
Keywords
Cite
@article{arxiv.hep-lat/0001011,
title = {Determinant of a new fermionic action on a lattice - (I)},
author = {A. Takami and T. Hashimoto and M. Horibe and A. Hayashi},
journal= {arXiv preprint arXiv:hep-lat/0001011},
year = {2014}
}
Comments
12 pages, 7 figures