Boundary Conditions as Mass Generation Mechanism for Real Scalar Fields

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

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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