Finite temperature properties of the Dirac operator under local boundary conditions

We study the finite temperature free energy and fermion number for Dirac fields in a one-dimensional spatial segment, under two different members of the family of local boundary conditions defining a self-adjoint Euclidean Dirac operator in two dimensions. For one of such boundary conditions, compatible with the presence of a spectral asymmetry, we discuss in detail the contribution of this part of the spectrum to the zeta-regularized determinant of the Dirac operator and, thus, to the finite temperature properties of the theory.

Note:

Final version, to appear in Journal of Physics A Subj-class: High Energy Physics - Theory: Mathematical Physics

02.30.Sa
11.10.Wx
space-time
any-dimensional
operator: Dirac
boundary condition
finite temperature
spectral representation

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