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RESEARCH PRODUCT

Dirac operator spectrum in the linear σ model

T. Spitzenberg

subject

QuarkPhysicsNuclear and High Energy PhysicsMomentum operatorHigh Energy Physics::LatticeSpectrum (functional analysis)Spectral densityDirac operatorsymbols.namesakeSpectral asymmetryQuantum mechanicssymbolsDirac seaEigenvalues and eigenvectors

description

Abstract The spectrum of the Dirac operator for the linear σ Model with quarks in the large Nc approximation is presented. The spectral density can be related to the chiral condensate which is obtained using renormalization group flow equations. For small eigenvalues, the Banks-Casher relation and the vanishing linear correaction are recovered. The spectrum beyond the low energy regime is discussed.

https://doi.org/10.1016/s0146-6410(03)00031-0