Classical Loop Actions of Gauge Theories

Details Classical Loop Actions of Gauge Theories Classical Loop Actions of Gauge Theories

1993-07-29

arxiv.org/abs/hep-th/9307179v1

Phys.Rev.D50:5352-5357,1994

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 14 pages

Scientific paper

10.1103/PhysRevD.50.5352

Since the first attempts to quantize Gauge Theories and Gravity in the loop representation, the problem of the determination of the corresponding classical actions has been raised. Here we propose a general procedure to determine these actions and we explicitly apply it in the case of electromagnetism. Going to the lattice we show that the electromagnetic action in terms of loops is equivalent to the Wilson action, allowing to do Montecarlo calculations in a gauge invariant way. In the continuum these actions need to be regularized and they are the natural candidates to describe the theory in a ``confining phase''.

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