Conformal invariance and rationality in an even dimensional quantum field theory

Details Conformal invariance and rationality in an even dimensional quantum field theory Conformal invariance and rationality in an even dimensional quantum field theory

2004-05-03

arxiv.org/abs/math-ph/0405005v2

Int.J.Mod.Phys.A19:3605-3636,2004

Physics

Mathematical Physics

33 pages, misprints corrected, references updated

Scientific paper

10.1142/S0217751X04019342

Invariance under finite conformal transformations in Minkowski space and the Wightman axioms imply strong locality (Huygens principle) and rationality of correlation functions, thus providing an extension of the concept of vertex algebra to higher dimensions. Gibbs (finite temperature) expectation values appear as elliptic functions in the conformal time. We survey and further pursue our program of constructing a globally conformal invariant model of a hermitean scalar field L of scale dimension four in Minkowski space-time which can be interpreted as the Lagrangian density of a gauge field theory.

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