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

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

2002-01-11

arxiv.org/abs/hep-ph/0201095v1

Phys.Rev. D65 (2002) 074017

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.65.074017

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.

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