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We perform an explicit one-loop calculation for the gravitational contributions to the two-, three- and four-point gauge Green's functions with paying attention to the quadratic divergences. It is shown for the first time in the…

High Energy Physics - Phenomenology · Physics 2011-11-22 Yong Tang , Yue-Liang Wu

The quantization of Einstein-Maxwell theory with a cosmological constant is considered. We obtain all logarithmically divergent terms in the one-loop effective action that involve only the background electromagnetic field. This includes…

High Energy Physics - Theory · Physics 2009-11-06 David J. Toms

We analyse the gauge-dependence of the effective action in an interacting quantum theory of gravitational and matter fields. An explicit off-shell result is obtained in a general background gauge at one-loop order, which reduces in a…

High Energy Physics - Theory · Physics 2026-04-28 J. Frenkel , S. Martins-Filho

We study the question of the gauge dependence of the quantum gravity contribution to the running gauge coupling constant for electromagnetism. The calculations are performed using dimensional regularization in a manifestly gauge invariant…

High Energy Physics - Theory · Physics 2008-11-26 David J. Toms

We consider quantum gravitational corrections to Maxwell's equations on flat space background. Although the vacuum polarization is highly gauge dependent, we explicitly show that this gauge dependence is canceled by contributions from the…

General Relativity and Quantum Cosmology · Physics 2021-11-17 S. Katuwal , R. P. Woodard

We outline, test, and apply a new scheme for nonpertubative analyses of quantized field systems in contact with dynamical gravity. While gravity is treated classically in the present paper, the approach lends itself for a generalization to…

General Relativity and Quantum Cosmology · Physics 2020-12-30 Maximilian Becker , Martin Reuter

Gravitational contributions to the running of gauge couplings are calculated by using different regularization schemes. As the $\beta$ function concerns counter-terms of dimension four, only quadratic divergences from the gravitational…

High Energy Physics - Phenomenology · Physics 2011-01-04 Yong Tang , Yue-Liang Wu

An alternative approach to scalar quantum electrodynamics has been proposed where the usual gauge redundancy of the theory do not manifest. The gauge-dependence of Coleman- Weinberg effective potential is resolved using gauge-free approach…

High Energy Physics - Theory · Physics 2012-10-04 Srijit Bhattacharjee

Using the Batalin-Vilkovisky technique and the background field method the proof of gauge invariant renormalizability is elaborated for a generic model of quantum gravity which is diffeomorphism invariant and has no other, potentially…

High Energy Physics - Theory · Physics 2019-08-07 Peter M. Lavrov , Ilya L. Shapiro

We construct perturbative quantum gravity in a generally covariant way. In particular our construction is background independent. It is based on the locally covariant approach to quantum field theory and the renormalized Batalin-Vilkovisky…

Mathematical Physics · Physics 2015-11-30 Romeo Brunetti , Klaus Fredenhagen , Katarzyna Rejzner

The current understanding of renormalization in quantum gravity (QG) is based on the fact that UV divergences of effective actions in the covariant QG models are covariant local expressions. This fundamental statement plays a central role…

High Energy Physics - Theory · Physics 2024-07-30 P. M. Lavrov , I. L. Shapiro

We prove gauge-independence of one-loop path integral for on-shell quantum gravity obtained in a framework of modified geometric approach. We use projector on pure gauge directions constructed via quadratic form of the action. This enables…

High Energy Physics - Theory · Physics 2009-10-28 Dmitri V. Vassilevich

We investigate the background field method with the Batalin-Vilkovisky formalism, to generalize known results, study parametric completeness and achieve a better understanding of several properties. In particular, we study renormalization…

High Energy Physics - Theory · Physics 2014-02-12 Damiano Anselmi

Gravity is the weakest force in nature, and the gravitational interactions with all standard model (SM) particles can be well described by perturbative expansions of the Einstein-Hilbert action as an effective theory, all the way up to…

High Energy Physics - Theory · Physics 2011-06-30 Hong-Jian He , Xu-Feng Wang , Zhong-Zhi Xianyu

The question of a modification of the running gauge coupling of (non-) abelian gauge theories by an incorporation of the quantum gravity contribution has recently attracted considerable interest. In this letter we perform an involved…

High Energy Physics - Theory · Physics 2008-11-26 Dietmar Ebert , Jan Plefka , Andreas Rodigast

The effective action in quantum general relativity is strongly dependent on the gauge-fixing and parametrization of the quantum metric. As a consequence, in the effective approach to quantum gravity, there is no possibility to introduce the…

High Energy Physics - Theory · Physics 2020-10-28 Breno L. Giacchini , Tibério de Paula Netto , Ilya L. Shapiro

We derive quantum gravity contributions to the beta functions of the gauge and Yukawa couplings of a matter theory using the Schwinger proper-time flow equation. Working in the Einstein-Hilbert truncation, we investigate the gauge-fixing…

High Energy Physics - Phenomenology · Physics 2026-04-06 Gabriele Giacometti , Kamila Kowalska , Daniele Rizzo , Enrico Maria Sessolo , Dario Zappala

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…

High Energy Physics - Theory · Physics 2015-05-30 N. K. Nielsen

We critically examine the gauge, and field-parametrization dependence of renormalization group flows in the vicinity of non-Gau\ss{}ian fixed points in quantum gravity. While physical observables are independent of such calculational…

High Energy Physics - Theory · Physics 2015-10-14 Holger Gies , Benjamin Knorr , Stefan Lippoldt

The quantum gravity is formulated based on principle of local gauge invariance. The model discussed in this paper has local gravitational gauge symmetry and gravitational field appears as gauge field. The problems on quantization and…

High Energy Physics - Theory · Physics 2007-05-23 Ning Wu
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