Conformal Contact Terms and Semi-Local Terms

Abstract

We study conformal properties of local terms such as contact terms and semi-local terms in correlation functions of a conformal field theory. Not all of them are universal observables but they do appear in physically important correlation functions such as (anomalous) Ward-Takahashi identities or Schwinger-Dynson equations. We develop some tools such as embedding space delta functions and effective action to examine conformal invariance of these local terms.

18 pages, v2 reference added

References in corpus (9)

• Top-quark pair hadroproduction in association with a heavy boson at NLO+NNLL including EW corrections
• Trace anomalies in chiral theories revisited
• A note on three-point functions of conserved currents
• Shortening Anomalies in Supersymmetric Theories
• Supersymmetry anomalies in $\mathcal{N}=1$ conformal supergravity
• Measurements of inclusive and differential cross-sections of combined $t\bar{t}\gamma$ and $tW\gamma$ production in the $e\mu$ channel at 13 TeV with the ATLAS detector
• CP-violating super Weyl anomaly
• Quantum consistency in supersymmetric theories with $R$-symmetry in curved space
• Conformal equations that are not Virasoro or Weyl invariant

Cited by in corpus (5)

• Extremal Correlators and Random Matrix Theory
• Weyl fermions in a non-abelian gauge background and trace anomalies
• From Schwinger to Wightman: all conformal 3-point functions in momentum space
• Holographic 2-Point Functions in the Pseudo-Conformal Universe
• Revisiting the $k$-theorem with the ANEC