# CSM

## Seminar

### Parametric representation of non commutative quantum field theory

Seminar Room 1, Newton Institute

#### Abstract

We present the generalization of the parametric representation of ordinary quantum field theory to the non commutative case. Its derivation reposes largely on the use of Grassmann numbers, variables adapted to the computation of determinants. The non commutative generalization of Symanzik polynomials are found to be sums of positive terms indexed by new topological objects, called "bytrees" which will be discussed in detail.

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