Boundary Conditions as Mass Generation Mechanism for Real Scalar Fields

2001/08/31 by Jose Alexandre Nogueira, Pedro Leite Barbieri
Physics and Astronomy · #hep-th

paper · pdf

published as Braz.J.Phys. 32 (2002) 798-803 · 10 pages; added remarks for section 3, references removed and others added, second term of Eq.(15) changed

arxiv created 2001/12/04 · arxiv updated 2009/11/30

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.

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