4.4 Article

Momentum space parity-odd CFT 3-point functions

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP08(2021)089

Keywords

Conformal and W Symmetry; Conformal Field Theory

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This study focuses on the parity-odd sector of 3-point functions involving scalar operators and conserved currents in conformal field theories in momentum space. The researchers use momentum space conformal Ward identities and operators like spin-raising and weight-shifting operators to determine the form of these correlators. When dealing with divergences, they discuss regularization and renormalization techniques using appropriate counter-terms.
We study the parity-odd sector of 3-point functions comprising scalar operators and conserved currents in conformal field theories in momentum space. We use momentum space conformal Ward identities as well as spin-raising and weight-shifting operators to fix the form of some of these correlators. Wherever divergences appear we discuss their regularisation and renormalisation using appropriate counter-terms.

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