Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-07-15
Eur.Phys.J.C70:689-702,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
15 pages
Scientific paper
10.1140/epjc/s10052-010-1485-1
We study the nature of the confinement phase transition in d=3+1 dimensions in various non-abelian gauge theories with the approach put forward in [1]. We compute an order-parameter potential associated with the Polyakov loop from the knowledge of full 2-point correlation functions. For SU(N) with N=3,...,12 and Sp(2) we find a first-order phase transition in agreement with general expectations. Moreover our study suggests that the phase transition in E(7) Yang-Mills theory also is of first order. We find that it is weaker than for SU(N). We show that this can be understood in terms of the eigenvalue distribution of the order parameter potential close to the phase transition.
Braun Jean-Jacques
Eichhorn Astrid
Gies Holger
Pawlowski Jan M.
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