All order I.R. finite expansion for short distance behavior of massless theories perturbed by a relevant operator

Details All order I.R. finite expansion for short distance behavior of massless theories perturbed by a relevant operator All order I.R. finite expansion for short distance behavior of massless theories perturbed by a relevant operator

1995-11-29

arxiv.org/abs/hep-th/9511209v1

Nucl.Phys. B471 (1996) 361-388

Physics

High Energy Physics

High Energy Physics - Theory

27 pages

Scientific paper

10.1016/0550-3213(96)00175-7

We consider here renormalizable theories without relevant couplings and present an I.R. consistent technique to study corrections to short distance behavior (Wilson O.P.E. coefficients) due to a relevant perturbation. Our method is the result of a complete reformulation of recent works on the field, and is characterized by a more orthodox treatment of U.V. divergences that allows for simpler formulae and consequently an explicit all order (regularization invariant) I.R. finitess proof. Underlying hypotheses are discussed in detail and found to be satisfied in conformal theories that constitute a natural field of application of this approach.

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