Abelian nature of cooled SU(2) lattice configurations

Journal Article · Mon Mar 31 23:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.4484· OSTI ID:477104

Giedt, J ^[1]; Greensite, J ^[1]

---

1. Department of Physics and Astronomy, San Francisco State University, San Francisco, California 94132 (United States)

We introduce a gauge-invariant measure of the local {open_quotes}Abelianicity{close_quotes} of any given lattice configuration in non-Abelian lattice gauge theory; it is essentially a comparison of the magnitude of field strength commutators to the magnitude of the field strength itself. This measure, in conjunction with the cooling technique, is used to probe the SU(2) lattice vacuum for a possible large-scale Abelian background, underlying the local short-range field fluctuations. We do, in fact, find a substantial rise in the Abelianicity over ten cooling steps or so, after which the Abelianicity tends to drop again. {copyright} {ital 1997} {ital The American Physical Society}

• Research Organization: Lawrence Berkeley National Laboratory
• DOE Contract Number: AC03-76SF00098; FG03-92ER40711
• OSTI ID: 477104
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 7 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COMMUTATORS
COOLING
FLUCTUATIONS
GAUGE INVARIANCE
LATTICE FIELD THEORY
STRENGTH FUNCTIONS
SU-2 GROUPS