München 2009 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 13: Quantenfeldtheorie 2

MP 13.2: Talk

Thursday, March 12, 2009, 17:50–18:10, M010

Pole structure of higher correlation functions in 4D globally conformal invariant quantum field theory — •Marcel Bischoff — Institute of Theoretical Physics, Göttingen, Germany

Assuming global conformal invariance of Wightman functions has far reaching implications, e.g. such functions are rational. The twist two contribution of the operator product expansion of a pair of scalar fields of equal scaling dimension in 4 space-time dimension gives rise to a bi-field which is harmonic in both arguments. That in turn strongly restrains the admissible pole structures. We characterize possible pole structures which cannot be realized by free field constructions.