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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Relativistic gauge theories and non-commutative geometry

## Relativistic gauge theories and non-commutative geometryAdd to your list(s) Download to your calendar using vCal - Langmann, E (AlbaNova University Center)
- Tuesday 31 July 2012, 14:00-14:45
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Spectral Theory of Relativistic Operators I explain how the representation theory of loop groups provides mathematical tools to construct QCD , i.e. QCD in 1+1 space-time dimensions with massless fermions. I describe mathematical results on corresponding higher dimensional analogues of the loop groups that are motivated by QCD . I explain why I believe that ideas from non-commutative geometry (NCG
One particular aspect of NCG was popularized by Seiberg and Witten in 1999 in particle physics – I thus should stress that I mean NCG in a much broader sense than this. Comments: I plan to revisit and review a research topic I worked on until 2001. My talk will be based on my papers from that time, including -EL and G.W. Semenoff, QCD with massless quarks and gauge covariant Sugawara construction, Phys. Lett. B 341 (1994) 195 -EL and J. Mickelsson, (3+1)-dimensional Schwinger terms and non-commutative geometry, Phys. Lett. B 338 (1994) 241 -EL, Quantum gauge theories and non-commutative geometry, arXiv:hep-th/9608003 etc. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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