Current-Current Singularities under External Gauge Fields

Details Current-Current Singularities under External Gauge Fields Current-Current Singularities under External Gauge Fields

1992-12-03

arxiv.org/abs/hep-th/9212025v2

Physics

High Energy Physics

High Energy Physics - Theory

harvmac, UCLA/92/TEP/46

Scientific paper

We study the operator product expansion of two non-interacting chiral currents in the presence of external gauge fields in four dimensional euclidean space. We obtain the operator singularity in terms of the beta function of the free energy density and a connection on the space of external gauge fields, by imposing the consistency between the variational formula, introduced previously by the author, and both the renormalization group equations and the equation of motion for the currents. As a byproduct, we derive a euclidean version of the anomalous commutator of two currents in an appendix.

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