2000/12/31 by Boguslaw Broda
Physics and Astronomy · Mathematics · #math-ph #hep-lat #hep-th #math.CA #math.MP #physics.comp-ph #quant-ph #msc:26B20 #msc:81T45 #msc:81S40 #msc:57M25
published as original version published in 2nd ed. of "Modern Nonlinear Optics", Part 2, ed. M.W.Evans, Wiley (2001) 429-468 · 46 pages, 5 pictures, 1 EPS figure, several references added, minor changes
arxiv created 2002/01/16 · arxiv updated 2009/11/30
In this short review main issues related to the non-Abelian Stokes theorem have been addressed. The two principal approaches to the non-Abelian Stokes theorem, operator and two variants (coherent-state and holomorphic) of the path-integral one, have been formulated in their simplest possible forms. A recent generalization for a knotted loop as well as a suggestion concerning higher-degree forms have been also included. Non-perturbative applications of the non-Abelian Stokes theorem, to (semi-)topological gauge theories, have been presented.