The Einstein-Maxwell system, Ward identities, and the Vilkovisky construction
arXiv:1109.2699 · doi:10.1016/j.aop.2011.12.010
Abstract
The gauge fixing dependence of the one-loop effective action of quantum gravity in the proper-time representation is investigated for a space of arbitrary curvature, and the investigation is extended to Maxwell-Einstein theory. The construction of Vilkovisky and DeWitt for removal of this depence is then considered in general gauges, and it is shown that nontrivial criteria arising from a Ward identity of the theory must be obeyed by the regularization scheme, if the construction is to remove the gauge dependence of quadratic and quartic divergences. The results apply also to non-Abelian gauge theories; they are used to address the question of gauge dependence of asymptotic freedom arising through internal graviton lines at one-loop order as suggested by Robinson and Wilczek.
35 pages
References in corpus (8)
- Gauge Dependence of Gravitational Correction to Running of Gauge Couplings
- Quantum gravitational contributions to quantum electrodynamics
- Absence of gravitational contributions to the running Yang-Mills coupling
- Quantum gravity and charge renormalization
- Running couplings and operator mixing in the gravitational corrections to coupling constants
- Quantum gravitational contributions to the beta function of quantum electrodynamics
- Quantum gravity, gauge coupling constants, and the cosmological constant
- Gauge-Invariant Quantum Gravity Corrections to Gauge Couplings via Vilkovisky-DeWitt Method and Gravity Assisted Gauge Unification
Cited by in corpus (10)
- A link that matters: Towards phenomenological tests of unimodular asymptotic safety
- Interacting Scalar Fields in the Context of Effective Quantum Gravity
- Higgs boson decay into two photons in an electromagnetic background
- Gravitational corrections to a non-Abelian gauge theory
- Ambiguities in the gravitational correction of quantum electrodynamics
- Gravitational corrections to two-loop beta function in quantum electrodynamics
- Gravitational corrections to the Einstein-Scalar-QCD model
- Gravitational corrections to the scattering in a massless quantum electrodynamics
- Gravitational corrections to the two-loop beta function in a non-Abelian gauge theory
- Corrections to gauge theories in effective quantum gravity with a cutoff