Relativistic Landau problem at finite temperature
High Energy Physics - Theory
2009-11-11 v1
Abstract
We study the zero temperature Casimir energy and fermion number for Dirac fields in a 2+1-dimensional Minkowski space-time, in the presence of a uniform magnetic field perpendicular to the spatial manifold. Then, we go to the finite-temperature problem with a chemical potential, introduced as a uniform zero component of the gauge potential. By performing a Lorentz boost, we obtain Hall's conductivity in the case of crossed electric and magnetic fields.
Cite
@article{arxiv.hep-th/0511108,
title = {Relativistic Landau problem at finite temperature},
author = {C. G. Beneventano and E. M. Santangelo},
journal= {arXiv preprint arXiv:hep-th/0511108},
year = {2009}
}
Comments
Talk given at the Seventh International Workshop Quantum Field Theory under the influence of External Conditions, QFEXT'05, Barcelona, Spain