Gravitational coupling of QED and QCD: 3- and 4- point functions in momentum space

Abstract

Conformal symmetry has important consequences for strong interactions at short distances and provides powerful tools for practical calculations. Even if the Lagrangians of Quantum Chromodynamics (QCD) and Electrodynamics (QED) are invariant under conformal transformations, this symmetry is broken by quantum corrections. The signature of the symmetry breaking is encoded in the presence of massless poles in correlators involving stress-energy tensors. We present a general study of the correlation functions $⟨TJJ⟩$ and $⟨TTJJ⟩$ of conformal field theory (CFT) in the flat background limit in momentum space, following a reconstruction method for tensor correlators. Furthermore, our analysis also focuses on studying the dimensional degeneracies of the tensor structures related to these correlators.

arXiv comment7 pages, 1 figure, QCD@work 2022 conference proceeding

References in corpus (15)

• Implications of conformal invariance in momentum space
• Solving the Conformal Constraints for Scalar Operators in Momentum Space and the Evaluation of Feynman's Master Integrals
• The Trace Anomaly and Massless Scalar Degrees of Freedom in Gravity
• Thermal transport, geometry, and anomalies
• A Nernst current from the conformal anomaly in Dirac and Weyl semimetals
• Dimensionally Dependent Tensor Identities by Double Antisymmetrisation
• TTT in CFT: Trace Identities and the Conformal Anomaly Effective Action
• Exact Correlators from Conformal Ward Identities in Momentum Space and the Perturbative $TJJ$ Vertex
• On Some Hypergeometric Solutions of the Conformal Ward Identities of Scalar 4-point Functions in Momentum Space
• Graviton Vertices and the Mapping of Anomalous Correlators to Momentum Space for a General Conformal Field Theory
• Trace Anomaly, Massless Scalars and the Gravitational Coupling of QCD
• Renormalization, Conformal Ward Identities and the Origin of a Conformal Anomaly Pole
• Four-Point Functions in Momentum Space: Conformal Ward Identities in the Scalar/Tensor case
• Anomalous Gravitational TTT Vertex, Temperature Inhomogeneity, and Pressure Anisotropy
• The Trace Anomaly and the Couplings of QED and QCD to Gravity