An Order Parameter Reconciling Abelian and Center Dominance in SU(2) Yang-Mills Theory

Details An Order Parameter Reconciling Abelian and Center Dominance in SU(2) Yang-Mills Theory An Order Parameter Reconciling Abelian and Center Dominance in SU(2) Yang-Mills Theory

2000-11-28

arxiv.org/abs/hep-th/0011246v1

Phys.Rev. D64 (2001) 014505

Physics

High Energy Physics

High Energy Physics - Theory

TeX file, 31 pages

Scientific paper

10.1103/PhysRevD.64.014505

We analyze previously proposed order parameters for the confinement - deconfinement transition in lattice SU(2) Yang-Mills theory, defined as vacuum expectation value (v.e.v.) of monopole fields in abelian projection gauges. We show that they exhibit some inconsistency in the treatment of small scales, due to a violation of Dirac quantization condition for fluxes. We propose a new order parameter avoiding this inconsistency. It can be interpreted as v.e.v. of the field of a regular monopole in any abelian projection gauge, but it is independent of the choice of the abelian projection. Furthermore, being constructed in terms of surfaces of center vortices, it has also a natural interpretation in the approach of center dominance.

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