Classes of confining gauge field configurations

Journal Article · Mon Jan 01 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.016004· OSTI ID:20933259

Wagner, Marc ^[1]

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1. Institute for Theoretical Physics III, University of Erlangen-Nuernberg, Staudtstrasse 7, 91058 Erlangen (Germany)

We present a numerical method to compute path integrals in effective SU(2) Yang-Mills theories. The basic idea is to approximate the Yang-Mills path integral by summing over all gauge field configurations, which can be represented as a linear superposition of a small number of localized building blocks. With a suitable choice of building blocks many essential features of SU(2) Yang-Mills theory can be reproduced, particularly confinement. The analysis of our results leads to the conclusion that topological charge as well as extended structures are essential elements of confining gauge field configurations.

• OSTI ID: 20933259
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 75; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GAUGE INVARIANCE
NUMERICAL ANALYSIS
PATH INTEGRALS
QUANTUM FIELD THEORY
SU-2 GROUPS
TOPOLOGY
YANG-MILLS THEORY