Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-06-24
Nucl.Phys. B705 (2005) 92-110
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, 7 figures ; typos corrected
Scientific paper
10.1016/j.nuclphysb.2004.11.044
We calculate the one loop effective potential for a 5D SU(2) gauge field theory at finite temperature $T=1/\beta$ and radius R=1/M. This calculation is performed, for the first time, in the case of background fields with two constant components $A^{3}_{y}$ (directed towards the compact extra dimension with radius R) and $A^{3}_{\tau}$ (directed towards the compact Euclidean time with radius $\beta$). This model possesses two discrete symmetries known as Z_{M}(2) and Z_{T}(2). The corresponding phase diagram is presented in Ref. 4. However the arguments which lead to this diagram are mainly qualitative. We present a detailed analysis, from our point of view, for this phase diagram, and we support our arguments performing lattice simulations for a simple phenomenological model with two scalar fields interacting through the previously calculated potential.
Farakos Konstantinos
Pasipoularides Pavlos
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