Finite temperature properties of the Dirac operator with bag boundary conditions

Abstract

We study the finite temperature free energy and fermion number for Dirac fields in a one-dimensional spatial segment, under local boundary conditions compatible with the presence of a spectral asymmetry. We discuss in detail the contribution of this part of the spectrum to the determinant. We evaluate the finite temperature properties of the theory for arbitrary values of the chemical potential.

Talk given at the Seventh International Workshop Quantum Field Theory under the influence of External Conditions, QFEXT'05, Barcelona, Spain. Final version, to appear in Journal of Physics A: Mathematical and General