The Spectrum of the Dirac Operator in the Linear Sigma Model with Quarks

Abstract

We derive the spectrum of the Dirac operator for the linear sigma-model with quarks in the large N_c approximation using renormalization group flow equations. For small eigenvalues, the Banks-Casher relation and the vanishing linear term are recovered. We calculate the coefficient of the next to leading term and investigate the spectrum beyond the low energy regime.

15 pages, 6 figures, to appear in Phys. Rev. D

References in corpus (2)

• Quenched Finite Volume Logarithms
• Renormalization Group Flow in large N_c

Cited by in corpus (2)

• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Different scenarios of dynamical chiral symmetry breaking in the interacting instanton liquid model via flavor symmetry breaking