Topological symmetry breaking of self--interacting fractional Klein--Gordon field on toroidal spacetime

TL;DR

This paper investigates symmetry breaking in self-interacting fractional Klein-Gordon fields on toroidal spacetime, deriving conditions and analyzing effects of compactified dimensions using zeta function regularization.

Contribution

It introduces a detailed analysis of symmetry breaking in fractional Klein-Gordon fields on toroidal spacetime, including effective potential and mass calculations with renormalization.

Findings

Conditions for symmetry breaking are analytically derived.

Regions of compactified dimensions where symmetry breaking occurs are identified.

Effective potential and topologically generated mass are explicitly calculated.

Abstract

Quartic self--interacting fractional Klein--Gordon scalar massive and massless field theories on toroidal spacetime are studied. The effective potential and topologically generated mass are determined using zeta function regularization technique. Renormalization of these quantities are derived. Conditions for symmetry breaking are obtained analytically. Simulations are carried out to illustrate regions or values of compactified dimensions where symmetry breaking mechanisms appear.