Berlin 2014 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 10: Quantenfeldtheorie III

MP 10.2: Talk

Thursday, March 20, 2014, 15:00–15:20, SPA SR125

Operator Product Expansion Algebra — •Jan Holland — CPHT, Ecole Polytechnique, Paris-Palaiseau, France

The Operator Product Expansion (OPE) is a theoretical tool for studying the short distance behaviour of products of local quantum fields. Over the past 40 years, the OPE has not only found widespread computational application in high-energy physics, but, on a more conceptual level, it also encodes fundamental information on algebraic structures underlying quantum field theories. I will review new insights into the status and properties of the OPE within Euclidean perturbation theory, addressing in particular the topics of convergence and "factorisation" of the expansion. Further, I will present a formula for the "deformation" of the OPE algebra caused by a quartic interaction. This formula can be used to set up a novel iterative scheme for the perturbative computation of OPE coefficients, based solely on the zeroth order coefficients (and renormalisation conditions) as initial input.