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

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

2008-04-24

arxiv.org/abs/0804.3910v1

J.Phys.A41:145403,2008

Physics

High Energy Physics

High Energy Physics - Theory

32 pages

Scientific paper

10.1088/1751-8113/41/14/145403

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.

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