On the nature of the phase transition in SU(N), Sp(2) and E(7) Yang-Mills theory

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 Phys. Lett. B 684, 262 (2010). We compute an order-parameter potential associated with the Polyakov loop from the knowledge of full 2-point correlation f...

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Bibliographic Details
Main Authors: Braun, Jens (Author) , Eichhorn, Astrid (Author) , Pawlowski, Jan M. (Author)
Format: Article (Journal)
Language:English
Published: 11 November 2010
In: The European physical journal. C, Particles and fields
Year: 2010, Volume: 70, Issue: 3, Pages: 689-702
ISSN:1434-6052
DOI:10.1140/epjc/s10052-010-1485-1
Online Access:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1140/epjc/s10052-010-1485-1
Verlag, kostenfrei, Volltext: https://link.springer.com/article/10.1140/epjc/s10052-010-1485-1
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Author Notes:Jens Braun, Astrid Eichhorn, Holger Gies, Jan M. Pawlowski
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Summary: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 Phys. Lett. B 684, 262 (2010). 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.
Item Description:Gesehen am 01.12.2017
Physical Description:Online Resource
ISSN:1434-6052
DOI:10.1140/epjc/s10052-010-1485-1