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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 5: Quantenfeldtheorie I

MP 5.4: Talk

Wednesday, March 2, 2016, 18:20–18:40, VMP6 HS B

Towards a non-perturbative construction of the Operator Product Expansion — •Jan Holland — Universität Leipzig, Germany

Our current understanding of Quantum Field Theory (QFT) is based to a large extent on perturbative - i.e. approximate - methods. Exact constructions in QFT are not only of fundamental conceptual interest, but they offer insights into physical phenomena that are intractable by perturbative means.

In this talk, I present progress on a novel approach towards the non-perturbative construction of the Operator Product Expansion (OPE). The OPE is a structure encoding the complete algebraic skeleton as well as the short distance properties of a Quantum Field Theory. Our construction method is based on a recently found recursion formula for the OPE, which will be discussed along with recent results on mathematical properties of the OPE in perturbation theory.