Thursday, April 5, 2012

1111.4536 (Syo Kamata et al.)

Minimal Doubling Fermion and Hermiticity    [PDF]

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.
View original: http://arxiv.org/abs/1111.4536

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