Gravitational corrections to a non-Abelian gauge theory

Abstract

This paper is part of a series of papers exploring the renormalization of field theories coupled to gravity using the effective field theory framework. In previous works we studied the universality of the electric charge and the two-loops beta function in the Einstein-QED system. Now, we use this framework to study the non-Abelian gauge theory with fermions coupled to gravity. We show that even though some of the counterterms are dependent on the gravitational coupling, the renormalized coupling constant, and therefore the beta function, do not receive any gravitational correction at one-loop order. Also, we explicitly show that, at this order, the Slavnov-Taylor identities are respected. Finally, we end the paper putting into perspective the results of the present and the past papers.

References in corpus (6)

• Gauge Dependence of Gravitational Correction to Running of Gauge Couplings
• Absence of gravitational contributions to the running Yang-Mills coupling
• Cosmological constant and quantum gravitational corrections to the running fine structure constant
• Asymptotic safety with Majorana fermions and new large N equivalences
• Quantum gravitational contributions to the beta function of quantum electrodynamics
• Gravitational corrections to two-loop beta function in quantum electrodynamics

Cited by in corpus (8)

• The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking
• Gravitational lens effect of a holonomy corrected Schwarzschild black hole
• Gravitational corrections to the Einstein-Scalar-QCD model
• Gravitational lensing in holonomy corrected spherically symmetric black holes with phantom global monopoles
• Gravitational corrections to the two-loop beta function in a non-Abelian gauge theory
• Ultra-Planckian quark and gluon scattering in agravity
• Interaction of Gravitational Waves with Yang-Mills fields
• Scattering amplitudes in dimensionless quadratic gravity coupled to QED