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Flux breaking at finite temperature in spacetimes with toroidal compactification

1990; IOP Publishing; Volume: 7; Issue: 5 Linguagem: Inglês

10.1088/0264-9381/7/5/002

1361-6382

Alan McLachlan,

High-Energy Particle Collisions Research

The flux-breaking mechanism as applied to spacetimes of the form Rm*Td is re-examined in order to ascertain the effects of introducing a non-zero temperature into the model. By expressing the 1-loop effective potential in terms of Bessel functions and performing a high-temperature expansion, it is found that the entire fermion contribution and the non-leading terms in the expansion of the Yang-Mills contribution are exponentially damped as T to infinity . Consequently, the dominant term in the high-temperature effective potential on Rm*Td*T is found to behave in the manner of a pure Yang-Mills model on Rm*Td and hence the gauge symmetry remains unbroken. At low temperature, the effective potential behaves as per the zero temperature model on Rm+R1*Td hence, as outlined in a previous paper, the gauge symmetry can be broken by fermions in a suitable group representation.