Spatial 't Hooft loop to cubic order in hot QCD

Details Spatial 't Hooft loop to cubic order in hot QCD Spatial 't Hooft loop to cubic order in hot QCD

2002-12-19

arxiv.org/abs/hep-ph/0212298v3

Nucl.Phys. B721 (2005) 1-24

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages. Apart from a discussion on the renormalization effect of the Polyakov loop to cubic order only cosmetic changes with

Scientific paper

10.1016/j.nuclphysb.2005.05.010

Spatial 't Hooft loops of strength k measure the qualitative change in the behaviour of electric colour flux in confined and deconfined phase of SU (N) gauge theory. They show an area law in the deconfined phase, known analytica lly to two loop order with a ``k-scaling'' law k(N-k). In this paper we comput e the O(g^3) correction to the tension. It is due to neutral gluon fields that get their mass through interaction with the wall. The simple k-scaling is lost in cubic order. The generic problem of non-convexity shows up in this order an d the cure is provided. The result for large N is explicitely given. We show tha t nonperturbative effects appear at O(g^5).

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