Boundary Conditions as Mass Generation Mechanism for Complex Scalar Fields

TL;DR

This paper investigates how homogeneous Dirichlet boundary conditions influence mass generation in scalar electrodynamics, revealing a critical scale where symmetry is restored and scalar fields gain mass while vector fields do not.

Contribution

It introduces a novel boundary condition-based mechanism for mass generation in scalar fields within electrodynamics.

Findings

Symmetry is restored at a critical compactification length.

Scalar fields develop mass at this critical scale.

Vector fields remain massless under these conditions.

Abstract

We consider the effects of homogeneous Dirichlet's boundary conditions in the scalar electrodynamics with self-interaction. We have found for a critical scale of the compactification length that symmetry is restored and scalar field develops mass and vector field does not.