English

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

High Energy Physics - Phenomenology 2009-11-07 v1

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.

Keywords

Cite

@article{arxiv.hep-ph/0201095,
  title  = {The Spectrum of the Dirac Operator in the Linear Sigma Model with Quarks},
  author = {T. Spitzenberg and K. Schwenzer and H. -J. Pirner},
  journal= {arXiv preprint arXiv:hep-ph/0201095},
  year   = {2009}
}

Comments

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