English

Boundary Conditions as Mass Generation Mechanism for Real Scalar Fields

High Energy Physics - Theory 2007-05-23 v2

Abstract

We consider the effects of homogeneous Dirichlet's boundary conditions on two infinite parallel plane surfaces separated by a small distance {\it a}. We find that although spontaneous symmetry breaking does not occur for the theory of a massless, quartically self-interacting real scalar field, the theory becomes a theory of a massive scalar field.

Cite

@article{arxiv.hep-th/0108019,
  title  = {Boundary Conditions as Mass Generation Mechanism for Real Scalar Fields},
  author = {Jose Alexandre Nogueira and Pedro Leite Barbieri},
  journal= {arXiv preprint arXiv:hep-th/0108019},
  year   = {2007}
}

Comments

10 pages; added remarks for section 3, references removed and others added, second term of Eq.(15) changed