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Renormalization procedure is generalized to be applicable for non renormalizable theories. It is shown that introduction of an extra expansion parameter allows to get rid of divergences and express physical quantities as series of finite…

High Energy Physics - Theory · Physics 2008-02-03 J. Gegelia , G. Japaridze , N. Kiknadze , K. Turashvili

We perform canonical quantization of General Relativity, as an effective quantum field theory below the Planck scale, within the BRST-invariant framework. We show that the promotion of constraints to dynamical equations of motion for…

High Energy Physics - Theory · Physics 2024-09-30 Lasha Berezhiani , Gia Dvali , Otari Sakhelashvili

We study the renormalizable quantum gravity formulated as a perturbed theory from conformal field theory (CFT) on the basis of conformal gravity in four dimensions. The conformal mode in the metric field is managed non-perturbatively…

High Energy Physics - Theory · Physics 2009-11-10 Ken-ji Hamada

In this work we use the framework of effective field theory to couple Einstein's gravity to scalar electrodynamics and determine the renormalization of the model through the study of physical processes below Planck scale, a realm where…

High Energy Physics - Theory · Physics 2016-04-14 L. Ibiapina Bevilaqua , A. C. Lehum , A. J. da Silva

Asymptotic safety generalizes asymptotic freedom and could contribute to understanding physics beyond the Standard Model. It is a candidate scenario to provide an ultraviolet extension for the effective quantum field theory of gravity…

High Energy Physics - Theory · Physics 2019-02-22 Astrid Eichhorn

In this paper, in an FLRW background and a perfect fluid equation of state, we explore the possibility of the realization of an emergent scenario in a 4D regularized extension of Einstein-Gauss-Bonnet gravity, with the field equations…

General Relativity and Quantum Cosmology · Physics 2024-06-12 Mrinnoy M. Gohain , Kalyan Bhuyan

One of the obstacles to reconciling quantum theory with general relativity, is constructing a theory which is both consistent with observation, and and gives finite answers at high energy, so that the theory holds at arbitrarily short…

High Energy Physics - Theory · Physics 2024-12-10 Andrzej Grudka , Tim R. Morris , Jonathan Oppenheim , Andrea Russo , Muhammad Sajjad

We recalculate the beta functions of higher derivative gravity in four dimensions using the one--loop approximation to an Exact Renormalization Group Equation. We reproduce the beta functions of the dimensionless couplings that were known…

High Energy Physics - Theory · Physics 2008-11-26 A. Codello , R. Percacci

We derive renormalised finite functional flow equations for quantum field theories in real and imaginary time that incorporate scale transformations of the renormalisation conditions, hence implementing a flowing renormalisation. The flows…

We consider the most general quadratic in curvature stringy motivated non-local action for the modified Einstein's gravity. We present exact analytic cosmological solutions including the bouncing ones and develop the relevant techniques for…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-03 Alexey S. Koshelev

Higher derivative theory is one of the important models of quantum gravity, renormalizable and asymptotically free within the standard perturbative approach. We consider the $4-\epsilon$ renormalization group for this theory, an approach…

High Energy Physics - Theory · Physics 2011-08-17 Guilherme de Berredo-Peixoto , Ilya L. Shapiro

General covariance in quantum gravity is seen once one integrates over all possible metrics. In recent years topological field theories have given us a different route to general covariance without integrating over all possible metrics.…

High Energy Physics - Theory · Physics 2010-04-06 Andrew Toon

The anomalous scaling of Newton's constant around the Reuter fixed point is dynamically computed using the functional flow equation approach. Specifically, we thoroughly analyze the flow of the most general conformally reduced…

High Energy Physics - Theory · Physics 2023-09-28 Alfio Bonanno , Maria Conti , Dario Zappalà

We complement Weinberg's no go theorem on the cosmological constant problem in quantum gravity by generalizing it to the case of a scale-invariant theory. Our analysis makes use of the effective action and the BRST symmetry in a manifestly…

High Energy Physics - Theory · Physics 2018-05-30 Munehiro Nagahama , Ichiro Oda

We set up an Einstein-Gauss-Bonnet theory in four dimensions, based on the recent formulation of pure gravity with extra dimensions of vanishing metrical length [1]. In absence of torsion, the effective field equations depend only on the…

General Relativity and Quantum Cosmology · Physics 2022-02-11 Sandipan Sengupta

The Kadanoff-Wilson renormalization group approach for a scalar self-interacting field theor generally coupled with gravity is presented. An average potential that monitors the fluctuations of the blocked field in different scaling regimes…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Alfio Bonanno

We show that that four dimensional conformal gravity plus a simple Neumann boundary condition can be used to get the semiclassical (or tree level) wavefunction of the universe of four dimensional asymptotically de-Sitter or Euclidean…

High Energy Physics - Theory · Physics 2011-06-10 Juan Maldacena

We study exact renormalization group (RG) in O(4) gauged supergravity using the effective average action formalism. The nonperturbative RG equations for cosmological and newtonian coupling constants are found. It is shown the existence of…

High Energy Physics - Theory · Physics 2009-09-17 L. N. Granda , S. D. Odintsov

We argue that our recent success in using our resummed quantum gravity approach to Einstein's general theory of relativity, in the context of the Planck scale cosmology formulation of Bonanno and Reuter, to estimate the value of the…

High Energy Physics - Phenomenology · Physics 2015-10-28 B. F. L. Ward

We analyze the R + R2 model of quantum gravity where terms quadratic in the curvature tensor are added to the General Relativity action. This model was recently proved to be a self-consistent quantum theory of gravitation, being both…

High Energy Physics - Theory · Physics 2022-04-19 S. A. Larin