Confined quantum fields under the influence of a uniform magnetic field
High Energy Physics - Theory
2008-11-26 v2 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
We investigate the influence of a uniform magnetic field on the zero-point energy of charged fields of two types, namely, a massive charged scalar field under Dirichlet boundary conditions and a massive fermion field under MIT boundary conditions. For the first, exact results are obtained, in terms of exponentially convergent functions, and for the second, the limits for small and for large mass are analytically obtained too. Coincidence with previously known, partial result serves as a check of the procedure. For the general case in the second situation --a rather involved one-- a precise numerical analysis is performed.
Keywords
Cite
@article{arxiv.hep-th/0206143,
title = {Confined quantum fields under the influence of a uniform magnetic field},
author = {E. Elizalde and F. C. Santos and A. C. Tort},
journal= {arXiv preprint arXiv:hep-th/0206143},
year = {2008}
}
Comments
17 pages, 5 figures