Cubic order for spatial 't Hooft loop in hot QCD

Details Cubic order for spatial 't Hooft loop in hot QCD Cubic order for spatial 't Hooft loop in hot QCD

2003-01-22

arxiv.org/abs/hep-ph/0301194v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, appears in the proceedings of SEWM2002

Scientific paper

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 analytically to two loop order with a ``k-scaling'' law k(N-k). In this paper we compute 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. The result for large N is explicitely given.

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