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

T. Spitzenberg, K. Schwenzer, H. -J. Pirner

hep-pharXiv:hep-ph/0201095

Abstract

We derive the spectrum of the Dirac operator for the linear sigma-model with quarks in the large Nc 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.

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