Momentum space parity-odd CFT 3-point functions
Sachin Jain, Renjan Rajan John, Abhishek Mehta, Amin A. Nizami, Adithya Suresh
Abstract
A bstract 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.
Topics & Concepts
PhysicsConformal mapScalar (mathematics)Mathematical physicsConformal field theoryPosition and momentum spaceMomentum (technical analysis)Scalar fieldTheoretical physicsSpace (punctuation)Conformal symmetryField (mathematics)Conserved currentQuantum field theoryQuantum electrodynamicsConserved quantityScalar field theoryPrimary fieldOperator product expansionOperator (biology)Space timeConformal anomalyScalar theories of gravitationSpacetimeAnti-de Sitter spaceField theory (psychology)Black Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsQuantum Chromodynamics and Particle Interactions