Critical exponents and abelian dominance in $SU(2)$ QCD

Details Critical exponents and abelian dominance in $SU(2)$ QCD Critical exponents and abelian dominance in $SU(2)$ QCD

1996-08-24

arxiv.org/abs/hep-lat/9608133v1

Phys.Lett. B400 (1997) 163-168

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, latex, 4 figures

Scientific paper

10.1016/S0370-2693(97)00319-5

The critical properties of the abelian Polyakov loop and the Polyakov loop in terms of Dirac string are studied in finite temperature abelian projected $SU(2)$ QCD. We evaluate the critical point and the critical exponents from each Polyakov loop in the maximally abelian gauge using the finite-size scaling analysis. Abelian dominance in this case is proved quantitatively. The critical point of each abelian Polyakov loop is equal to that of the non-abelian Polyakov loop within the statistical errors. Also, the critical exponents are in good agreement with those from non-abelian Polyakov loops.

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