Non-$\gamma_{5}$hermiticity minimal doubling fermion
High Energy Physics - Lattice
2014-06-27 v2
Abstract
We formulate new two dimensional fermions breaking hermiticity, based on the minimal doubling fermion. We investigate their properties: (I) Symmetries, (II) eigenvalue distributions, and (III)the number of poles. As a simple application of the fermions, the Gross-Neveu model in two dimensions is studied using the fermion. We obtain the parity broken phase diagram called Aoki phase and the chiral broken phase diagram of the model with an imaginary chemical potential.
Keywords
Cite
@article{arxiv.1311.7687,
title = {Non-$\gamma_{5}$hermiticity minimal doubling fermion},
author = {Syo Kamata and Hidekazu Tanaka},
journal= {arXiv preprint arXiv:1311.7687},
year = {2014}
}
Comments
7 pages, 15 figures, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany