An effective gluon potential and hybrid approach to Yang-Mills thermodynamics

Details An effective gluon potential and hybrid approach to Yang-Mills thermodynamics An effective gluon potential and hybrid approach to Yang-Mills thermodynamics

2012-04-19

arxiv.org/abs/1204.4330v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 4 figures

Scientific paper

We derive the partition function for the SU(3) Yang-Mills theory in the presence of a uniform gluon field within the background field method. We show, that the $n$-body gluon contributions in the partition function are characterized solely by the Polyakov loop. We express the effective action through characters of different representations of the color gauge group resulting in a form deduced in the strong-coupling expansion. A striking feature of this potential is that at low temperature gluons are physically disfavored and therefore they do not yield the correct thermodynamics. We suggest a hybrid approach to Yang-Mills thermodynamics, combining the effective gluon potential with glueballs implemented as dilaton fields.

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