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Order parameter reconciling Abelian and center dominance in SU(2) Yang-Mills theory

Journal Article · · Physical Review D
We analyze previously proposed order parameters for the confinement-deconfinement transition in lattice SU(2) Yang-Mills theory, defined as vacuum expectation value (VEV) 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 the VEV 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.
Sponsoring Organization:
(US)
OSTI ID:
40204462
Journal Information:
Physical Review D, Journal Name: Physical Review D Journal Issue: 1 Vol. 64; ISSN 0556-2821
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English

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