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Finite temperature properties of the Dirac operator under local boundary conditions

C. G. Beneventano·E. M. Santangelo
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Abstract

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.

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C. G. Beneventano, E. M. Santangelo. 2004-08-26. Finite temperature properties of the Dirac operator under local boundary conditions. https://doi.org/10.1088/0305-4470%2F37%2F39%2F013

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