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Connes' trace formula and Dirac realization of Maxwell and Yang-Mills action

1999/10/06 by P. M. Alberti, Alberti, P. M., R. Matthes +1
Mathematics · Physics and Astronomy · #46L89 47N50 47B10 58G15 81G13 #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP #msc:46L89 #msc:47B10 #msc:47N50 #msc:58G15 #msc:81G13

paper · pdf · doi:10.48550/arxiv.math-ph/9910011

Latex2e, 32 pages, expanded version of a lecture at the workshop "The Standard Model of Elementary Particle Physics from a Mathematical-Geometrical Viewpoint", Hesselberg, March 1999, http://www.uni-leipzig.de/~ntz/abs/abs1299.htm, revised version

arxiv created 2000/05/08 · arxiv updated 2009/11/30

Abstract

The paper covers known facts about the Dixmier trace (with some generalities about traces), the Wodzicki residue, and Connes' trace theorem, including two variants of proof of the latter. Action formulas are treated very sketchy, because they were considered in other lectures of the workshop.

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