Finite temperature properties of the Dirac operator under local boundary conditions
arXiv:hep-th/0404115 · doi:10.1088/0305-4470/37/39/013
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.
Final version, to appear in Journal of Physics A
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Cited by in corpus (10)
- Quantum field theory on toroidal topology: algebraic structure and applications
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- Finite-size effects on the phase diagram of difermion condensates in two-dimensional four-fermion interaction models
- Finite-temperature relativistic Landau problem and the relativistic quantum Hall effect
- Relativistic Landau problem at finite temperature
- Spectral asymmetry on the ball and asymptotics of the asymmetry kernel
- Casimir Effect of rough plates under a magnetic field in Hořava-Lifshitz theory
- Finite temperature properties of the Dirac operator with bag boundary conditions
- One-Loop Quantum Corrections to the Casimir Effect for Smoothly Rough Plates in the Low-Temperature Regime