Spontaneous Symmetry Breaking in the Nonlocal Scalar QED

TL;DR

This paper explores how nonlocal modifications in scalar QED influence spontaneous symmetry breaking, revealing mass generation for all fields and negligible corrections in certain conditions.

Contribution

It introduces a nonlocal scalar QED model and analyzes the impact of nonlocality on symmetry breaking and mass spectrum.

Findings

All fields gain mass when m^2 > 0 due to nonlocal effects.

Nonlocal corrections are negligible when m^2=0.

Masses depend on nonlocal scales.

Abstract

We investigate the spontaneous symmetry breaking in a nonlocal version of the scalar QED. When the mass parameter $m^2$ satisfies the requirement $m^2>0$, we find that all fields, including the Nambu-Goldstone field, acquire a non-zero mass dependent on the nonlocal scales. On the other hand, when $m^2=0$, we find that the nonlocal corrections to the masses are very small and can be neglected.