UBC Mathematics Department

Colloquium Abstract: Professor Horst Knoerrer, Department of Mathematics, ETH, Zurich

Evaluation of fermion loops by iterated residues

Feynman diagrams are a tool used for identifying the dominant behaviour of various complicated physical systems. First I will explain the rules for building and computing Feynman diagrams for many electron systems. Then I will focus on a particular class of such diagrams (Fermion loops). The numerical evaluation of Fermion loops for two-dimensional systems suggested some surprising results. These are proven rigorously, using methods of complex algebraic geometry.

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