Minimal Doubling Fermion and Hermiticity

Details Minimal Doubling Fermion and Hermiticity Minimal Doubling Fermion and Hermiticity

2011-11-19

arxiv.org/abs/1111.4536v3

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, 7 figures

Scientific paper

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.

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