Spectrum of the Dirac operator in the linearσmodel with quarks

Thomas Spitzenberg, Kai Schwenzer, Hans-Jürgen Pirner
2002 Physical Review D, Particles and fields  
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.
doi:10.1103/physrevd.65.074017 fatcat:jw6asygfgjgolawt5mt6qhnqvu