Gauge Dependence of Gravitational Correction to Running of Gauge Couplings

Abstract

Recently an interesting idea has been put forward by Robinson and Wilczek that incorporation of quantized gravity in the framework of abelian and nonabelian gauge theories results in a correction to the running of gauge coupling and, in consequence, to increase of the Grand Unification scale and to the asymptotic freedom. In this paper it is shown by explicit calculations that this correction depends on the choice of gauge.

arXiv comment4 pages, final version published in PRL with the note from Robinson and Wilczek added

References in corpus (3)

• Gravitational Correction to Running of Gauge Couplings
• Gauge and parametrization dependencies of the one-loop counterterms in the Einstein gravity.
• Renormalization group effects in the conformal sector of 4d quantom gravity with matter

Cited by in corpus (79)

• Asymptotic safety of gravity and the Higgs boson mass
• Renormalisation group and the Planck scale
• QED coupled to QEG
• One force to rule them all: asymptotic safety of gravity with matter
• Asymptotic freedom of Yang-Mills theory with gravity
• A Critique of the Asymptotic Safety Program
• Gravitational corrections to Yukawa systems
• An asymptotically safe solution to the U(1) triviality problem
• Quantum-gravity effects on a Higgs-Yukawa model
• Running Gauge Coupling in Asymptotically Safe Quantum Gravity
• Quantum-gravity-induced matter self-interactions in the asymptotic-safety scenario
• Upper bound on the Abelian gauge coupling from asymptotic safety
• Quantum gravitational contributions to quantum electrodynamics
• Absence of gravitational contributions to the running Yang-Mills coupling
• Quantum gravity and charge renormalization
• Effective universality in quantum gravity
• On the running of the gravitational constant
• Status of the asymptotic safety paradigm for quantum gravity and matter
• Cosmological constant and quantum gravitational corrections to the running fine structure constant
• Running couplings and operator mixing in the gravitational corrections to coupling constants
• Gravitational Corrections to Yukawa and Phi^4 Interactions
• $d=4$ as the critical dimensionality of asymptotically safe interactions
• On avoiding Ostrogradski instabilities within Asymptotic Safety
• Minimal models for $g-2$ and dark matter confront asymptotic safety
• Gravitational Contributions to the Running of Gauge Couplings
• A link that matters: Towards phenomenological tests of unimodular asymptotic safety
• Gauge-invariant quantum gravitational corrections to correlation functions
• Non-perturbative QEG Corrections to the Yang-Mills Beta Function
• Graviton Corrections to Maxwell's Equations
• Naturally small Yukawa couplings from trans-Planckian asymptotic safety
• Flavor anomalies from asymptotically safe gravity
• Quantum gravitational contributions to the beta function of quantum electrodynamics
• The weak-gravity bound in asymptotically safe gravity-gauge systems
• On the Interpretation of Gravitational Corrections to Gauge Couplings
• From quantum gravity to gravitational waves through cosmic strings
• Quantum gravity and scalar fields
• The Lee-Wick Fields out of Gravity
• Quantum gravity, gauge coupling constants, and the cosmological constant
• Is scale-invariance in gauge-Yukawa systems compatible with the graviton?
• Do the gravitational corrections to the beta functions of the quartic and Yukawa couplings have an intrinsic physical meaning?
• Quantization and fixed points of non-integrable Weyl theory
• Interacting Scalar Fields in the Context of Effective Quantum Gravity
• Nonvanishing gravitational contribution to matter beta functions for vanishing dimensionful regulators
• Constraints on $Z^{\prime }$ solutions to the flavor anomalies with trans-Planckian asymptotic safety
• Running Couplings in Quantum Theory of Gravity Coupled with Gauge Fields
• Gravitational effects on vanishing Higgs potential at the Planck scale
• Charge Renormalization due to Graviton Loops
• Asymptotically Safe Gravitons in Electroweak Precision Physics
• Naturally small neutrino mass with asymptotic safety and gravitational-wave signatures
• Gauge-Invariant Quantum Gravity Corrections to Gauge Couplings via Vilkovisky-DeWitt Method and Gravity Assisted Gauge Unification
• How robust are particle physics predictions in asymptotic safety?
• Gravitational Contributions to Gauge Green's Functions and Asymptotic Free Power-Law Running of Gauge Coupling
• Gravitational corrections to a non-Abelian gauge theory
• Quantum Gravitational Contributions to Gauge Field Theories
• The Einstein-Maxwell system, Ward identities, and the Vilkovisky construction
• Ambiguities in the gravitational correction of quantum electrodynamics
• Grand unification and the Planck scale: An $SO(10)$ example of radiative symmetry breaking
• Hierarchy problem, gauge coupling unification at the Planck scale, and vacuum stability
• Gravitational corrections to two-loop beta function in quantum electrodynamics
• Gravitational Contributions to the Running Yang-Mills Coupling in Large Extra-Dimensional Brane Worlds
• Quantum Structure of Field Theory and Standard Model Based on Infinity-free Loop Regularization/Renormalization
• Scaling solution for field-dependent gauge couplings in quantum gravity
• Covariant Effective Action for Generalized Proca Theories
• Revisit of renormalization of Einstein-Maxwell theory at one-loop
• Gravitational corrections to the Einstein-Scalar-QCD model
• A technique for natural gauge boson masses
• Gravitational correction to SU(5) gauge coupling unification
• Quantization of gravity and finite temperature effects
• Gravitational corrections to the scattering in a massless quantum electrodynamics
• Gravitational Corrections to ${\Phi }^4$ Theory with Spontaneously Broken Symmetry
• Vacuum Stability Bounds On Higgs Mass With Gravitational Contributions
• Bounds on Higgs And Top Quark Masses From The Other Degenerate Vacua Near The Planck Scale With Gravitational Contributions
• Gravitational corrections to the two-loop beta function in a non-Abelian gauge theory
• Local momentum space: Scalar field and gravity
• TeV-scale gravity in Horava-Witten theory on a compact complex hyperbolic threefold
• Gravitational corrections to the scattering of scalar particles
• Corrections to gauge theories in effective quantum gravity with a cutoff
• The impact of a random metric upon a diffusing particle
• The Multiple Point Principle and Extended Higgs Sectors