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

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. Condit...

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Bibliographic Details
Main Authors: Lim, S C, Teo, L P
Format: Article
Published: IOP PUBLISHING LTD 2008
Subjects:
Online Access:http://shdl.mmu.edu.my/2750/
Description
Summary: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.