Finite Temperature Induced Fermion Number for Quarks in a Chiral Field

Abstract

We compute the finite temperature correction to the induced fermion number for fermions coupled to a static SU(2) chiral background, using the derivative expansion technique. At zero temperature the induced fermion number is topological, being the winding number of the chiral background. At finite temperature however, higher order terms in the derivative expansion give nontopological corrections to the winding number. We use this result to show that the standard cancellation of the fractional parts of the fermion number inside and outside the bag in an SU(2) x SU(2) hybrid chiral bag model of the nucleon does not occur at nonzero temperature.

9 pages, no figures

References in corpus (4)

• Particle number fractionization of an atomic Fermi-Dirac gas in an optical lattice
• Spectral asymmetry for bag boundary conditions
• Thermal Fluctuations of Induced Fermion Number
• Finite Temperature Induced Fermion Number In The Nonlinear sigma Model In (2+1) Dimensions

Cited by in corpus (4)

• Exact closed-form solutions of the Dirac equation with a scalar exponential potential
• Finite temperature properties of the Dirac operator under local boundary conditions
• Induced quantum numbers of a magnetic vortex at nonzero temperature
• Finite temperature properties of the Dirac operator with bag boundary conditions