Possible Consequences of Conjectural Periodicity of Spectrum of Lattice Dirac Operator
Vladimir K. Petrov
Abstract
Some consequences which follow from the periodicity assumption for spectral density of Wilson--Dirac operator are studied. Such an assumption allows to obtain simple representations for quark propagator, which reveals an important role of m -m symmetry. It is argued that this symmetry is restored when the mirror fermion mass mr tended to infinity. The constrains on zero modes of Wilson--Dirac operator in a toy model approximation are also discussed.
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