Finite temperature properties of the Dirac operator under local boundary conditions
High Energy Physics - Theory
2009-11-10 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.hep-th/0404115,
title = {Finite temperature properties of the Dirac operator under local boundary conditions},
author = {C. G. Beneventano and E. M. Santangelo},
journal= {arXiv preprint arXiv:hep-th/0404115},
year = {2009}
}
Comments
Final version, to appear in Journal of Physics A