Relativistic Landau problem at finite temperature

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.

Talk given at the Seventh International Workshop Quantum Field Theory under the influence of External Conditions, QFEXT'05, Barcelona, Spain

References in corpus (2)

• Dirac Functional Determinants in Terms of the Eta Invariant and the Noncommutative Residue
• Finite temperature properties of the Dirac operator under local boundary conditions

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