Effective potential analysis for 5D SU(2) gauge theories at finite temperature and radius

Abstract

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 $A_y^3$ (directed towards the compact extra dimension with radius R) and $A_{\tau }^3$ (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.

arXiv comment18 pages, 7 figures ; typos corrected

References in corpus (7)

• Grand Unification at Intermediate Mass Scales through Extra Dimensions
• Z(N) interface tension in a hot SU(N) gauge theory
• Constrained effective potential in hot QCD
• Finite temperature Z(N) phase transition with Kaluza-Klein gauge fields
• A remark on higher dimension induced domain wall defects in our world
• Cosmological constraints from extra-dimension induced domain walls
• Thermal phase transitions in cosmology

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