The Effect of the Boundary Conditions in the Reformulation of QCD_4

Details The Effect of the Boundary Conditions in the Reformulation of QCD_4 The Effect of the Boundary Conditions in the Reformulation of QCD_4

2000-04-26

arxiv.org/abs/hep-th/0004184v2

JHEP 0007 (2000) 007

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 2 figures; typos corrected; to appear in JHEP

Scientific paper

10.1088/1126-6708/2000/07/007

We discuss the phase structure of QCD_4 as a perturbative deformation of the Topological Quantum Field Theory (TQFT). When we choose a special Maximal Abelian gauge (MAG) as the gauge fixing, the TQFT sector is equivalent to a 2D O(3) non-linear sigma model (NLSM). We consider the finite temperature case, and investigate the effect of the boundary conditions and the phase structure of the TQFT sector. It can have a deconfining phase under the twisted boundary conditions. However, this phase is screened once pertubative parts are added. We conclude that the information about the phase structure is encoded in the U(1) background in the case of the MAG.

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