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.

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