Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-08-08
Phys.Rev.D75:016004,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, 16 figures, several sections added
Scientific paper
10.1103/PhysRevD.75.016004
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.
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