English

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