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We discuss the problem of regularizing correlators in conformal fieldtheories. The only way to do it in coordinate space is to interpret them asdistributions. Unfortunately except for the simplest cases we do not havetabulated mathematical results. The way out we pursue here is to go to momentumspace and use Feynman diagram techniques and their regularization methods. Wefocus on the energy-momentum tensor correlators and, to gain insight, wecompute and regularize 2-point functions in 2d with various techniques both incoordinate space and in momentum space, obtaining the same results. Then we dothe same for 2-point functions in 4d. Finally we turn to 3-point function in4d, and concentrate on the parity-odd part. We derive in particular theregularized trace and divergence of the energy-momentum tensor in a chiralfermion model. We discuss the problems related to the parity-odd trace anomaly.

Regularization of energy-momentum tensor correlators and parity-odd terms