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Introduction to non commutative field theory

Rivasseau, V (Paris Sud)
Wednesday 09 April 2008, 11:30-12:30

Seminar Room 1, Newton Institute


We recall some standard tools of ordinary field theory (Parametric representation, cluster expansions, renormalization) and the interesting related combinatoric aspects (tree matrix theorem, forest formulas, Hopf algebras...). We then outline the basic definitions of non commutative field theory and sketch how to generalize these tools to the non commutative case. This typically leads to even richer combinatoric problems and identities.


[pdf ]




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