Effects of dynamical quarks on the spectrum of the Wilson Dirac operator

Details Effects of dynamical quarks on the spectrum of the Wilson Dirac operator Effects of dynamical quarks on the spectrum of the Wilson Dirac operator

2010-11-23

arxiv.org/abs/1011.5121v1

PoS Lattice2010:079,2010

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages 3 figures. Talk given at the XXVIII International Symposium on Lattice Field Theory (Lattice 2010), Villasimius, Italy

Scientific paper

Effects of dynamical quarks on the microscopic spectrum of the Wilson Dirac operator are analyzed by means of effective field theory. We consider the distributions of the real modes of the Wilson Dirac operator as well as the spectrum of the Hermitian Wilson Dirac operator, and work out the case of one flavor in all detail. In contrast to the quenched case, the theory has a mild sign problem that manifests itself by giving a spectral density that is not positive definite as the spectral gap closes.

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