Evaluation of conformal integrals
Adam Bzowski, Paul McFadden, Kostas Skenderis
TL;DR
This paper introduces a comprehensive method for analytically evaluating a wide class of conformal integrals in momentum space, providing closed-form solutions for 3-point functions of various operators across dimensions.
Contribution
The authors develop a novel, general approach to compute scalar and tensorial 3-point functions in conformal field theories, covering all integer dimensions and key operators.
Findings
Closed-form expressions for 3-point functions of stress tensors and currents
Applicable to all spacetime dimensions and integer operator dimensions
Enables precise analytical calculations in conformal field theory
Abstract
We present a comprehensive method for the evaluation of a vast class of integrals representing 3-point functions of conformal field theories in momentum space. The method leads to analytic, closed-form expressions for all scalar and tensorial 3-point functions of operators with integer dimensions in any spacetime dimension. In particular, this encompasses all 3-point functions of the stress tensor, conserved currents and marginal scalar operators.
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