Two-flavors Gross-Neveu model with Minimal Doubling Fermion and Hermiticity

Syo Kamata, Hidekazu Tanaka

The one-loop Wilsonian renormalization group flows of the two dimensional two-flavors Gross-Neveu model with minimal doubling fermion are calculated numerically. The off-diagonal mass components which are non-Hermiticity are generated in the flows. We considered a relation among $\gamma_{5}$Hermiticity, R-Hermiticity and PT symmetry, satisfied two of the three conditions is a sufficient condition for satisfied another condition but not a necessary condition. Because of kinetic terms which do not have R-Hermiticity, non-Hermiticity effective masses appear.

http://arxiv.org/abs/1111.4536
High Energy Physics – Lattice (hep-lat)

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