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

AuthorsFernández Faedo, Antón; Hernández Díaz, Daniel; Rigolin, Stefano ; Salvatori, M.
Issue Date8-Feb-2010
AbstractWe review the basic notions of compactification in the presence of a back- ground 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” back- ground 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 × T 2. 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.
Description43 pages, 3 figures.
Publisher version (URL)http://arxiv.org/abs/0911.0997
Appears in Collections:(IFT) Artículos
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