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arXiv · 0911.0997

One-loop effective potential in M4 x T2 with and without 't Hooft flux

A. F. Faedo·D. Hernandez·S. Rigolin·M. Salvatori
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Abstract

We review the basic notions of compactification in the presence of a background flux. In extra-dimentional models with more than five dimensions, Scherk and Schwarz boundary conditions have to satisfy 't Hooft consistency conditions. Different vacuum configurations can be obtained, depending whether trivial or non-trivial 't Hooft flux is considered. The presence of the "magnetic" background flux provide, in addition, a mechanism for producing four-dimensional chiral fermions. Particularizing to the six-dimensional case, we calculate the one-loop effective potential for a U(N) gauge theory on M4 x T2. We firstly review the well known results of the trivial 't Hooft flux case, where one-loop contributions produce the usual Hosotani dynamical symmetry breaking. Finally we applied our result for describing, for the first time, the one-loop contributions in the non-trivial 't Hooft flux case.

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A. F. Faedo, D. Hernandez, S. Rigolin, M. Salvatori. 2009-11-05. One-loop effective potential in M4 x T2 with and without 't Hooft flux. https://doi.org/10.1103/physrevd.82.025006

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