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MP: Theoretische und Mathematische Grundlagen der Physik

MP 3: Quantenmech., Schroed.+Dirac-Op, Vielteilchensysteme und QFT

MP 3.2: Talk

Wednesday, March 29, 2006, 14:30–15:00, P1-02-111

Interpreting Yang-Mills Theories as Many-Particle Field Theories — •Peter Schust — II. Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57/III, 70550 Stuttgart

This talk will give a many-particle interpretation of Yang-Mills theories for a system with a fixed number of particles on the level of field theories. For the claimed purpose of describing a many-particle system, this interpretation utilises the Whitney sum structure of the (massive) particle’s fibre. The emphasis on the sum structure of Yang-Mills theories, which is unlike the product structure of second quantised theories, allows, in turn, generalisations in the gauge part of the formalism that allows to describe exchange phenomena in terms of so-called exchange potentials [1]. Special cases of this general formalism are published in [2], [3]. Another example for three electromagnetic interacting electrons will be given on sustaining posters.

[1] P. Schust, Die Relativistische Schrödingertheorie als erweiterte Yang-Mills Theorie, Dissertation, Universität Stuttgart, in preparation

[2] P. Schust, M. Mattes, and M. Sorg, Found. Phys. 34, 99 (2004)

[3] P. Schust, F. Stary, M. Mattes, and M. Sorg, Found. Phys 35, 1043 (2005)