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Related papers: Infrared behavior of Weyl Gravity

200 papers

With the help of a functional renormalization group, we study the dynamical breakdown of scale invariance in quantum Weyl gravity by starting from the UV fixed point that we assume to be Gaussian. To this end, we resort to two classes of…

High Energy Physics - Theory · Physics 2020-08-17 Petr Jizba , Lesław Rachwał , Stefano G. Giaccari , Jaroslav Kňap

Some relations between conformal relativity and Weyl-Dirac theory are rephrased and clarified.

Mathematical Physics · Physics 2010-08-03 Robert Carroll

We perform a canonical quantization of Weyl's conformal gravity by means of the covariant operator formalism and investigate the unitarity of the resulting quantum theory. After reducing the originally fourth order theory to second order in…

High Energy Physics - Theory · Physics 2022-09-14 Jisuke Kubo , Jeffrey Kuntz

We study two--loop renormalization in $(2+\epsilon)$--dimensional quantum gravity. As a first step towards the full calculation, we concentrate on the divergences which are proportional to the number of matter fields. We calculate the…

High Energy Physics - Theory · Physics 2016-09-06 Toshiaki Aida , Yoshihisa Kitazawa , Jun Nishimura , Asato Tsuchiya

We show how to lift a generic non-scale invariant action in Einstein frame into a locally conformally-invariant (or Weyl-invariant) theory and present a new general form for Lagrangians consistent with Weyl symmetry. Advantages of such a…

High Energy Physics - Theory · Physics 2014-02-26 Itzhak Bars , Paul Steinhardt , Neil Turok

Using Wilsonian procedure (renormalization group improvement) we discuss the finite quantum corrections to black hole entropy in renormalizable theories. In this way, the Wilsonian black hole entropy is found for GUTs (of asymptotically…

General Relativity and Quantum Cosmology · Physics 2009-09-17 Sergei D. Odintsov , Yongsung Yoon

Quantum General Relativity (QGR), sometimes called Loop Quantum Gravity, has matured over the past fifteen years to a mathematically rigorous candidate quantum field theory of the gravitational field. The features that distinguish it from…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Thomas Thiemann

We discuss the structure of nonlocal effective action generating the conformal anomaly in classically Weyl invariant theories in curved spacetime. By the procedure of conformal gauge fixing, selecting the metric representative on a…

High Energy Physics - Theory · Physics 2023-11-16 A. O. Barvinsky , W. Wachowski

We prove the renormalizability of quantum gravity near two dimensions. The successful strategy is to keep the volume preserving diffeomorphism as the manifest symmetry of the theory. The general covariance is recovered by further imposing…

High Energy Physics - Theory · Physics 2009-10-28 Yoshihisa Kitazawa

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

A method for consistent quantization of conformal gravity treating conformal symmetry in a very controllable way is presented. First, we discuss local conformal symmetry in the framework of gravitational interactions, where we view it as an…

High Energy Physics - Theory · Physics 2022-05-02 Lesław Rachwał

We examine the viability of Weyl conformal gravity as an alternative to the general theory of relativity. By using the extended rotation curve of the Milky Way and velocity dispersions of four globular clusters, we show that Weyl gravity…

General Relativity and Quantum Cosmology · Physics 2018-12-19 Koushik Dutta , Tousif Islam

We study the Weyl vector fields which can play an important role in quantum gravity. The metric obtains its dynamical content after dynamical symmetry breaking in the phase of the effective Einstein gravity which is induced by quantum Weyl…

General Relativity and Quantum Cosmology · Physics 2010-09-28 B. S. Park , D. G. Pak

We consider numerical black hole solutions in the Weyl conformal geometry, and its associated conformally invariant Weyl quadratic gravity. In this model Einstein gravity (with a positive cosmological constant) is recovered in the…

General Relativity and Quantum Cosmology · Physics 2024-11-18 Jin-Zhao Yang , Shahab Shahidi , Tiberiu Harko

In this paper, two things are done. (i) Using cohomological techniques, we explore the consistent deformations of linearized conformal gravity in 4 dimensions. We show that the only possibility involving no more than 4 derivatives of the…

High Energy Physics - Theory · Physics 2017-09-27 N. Boulanger , M. Henneaux

Constraining quantum gravity from observations is a challenge. We expand on the idea that the interplay of quantum gravity with matter could be key to meeting this challenge. Thus, we set out to confront different potential candidates for…

High Energy Physics - Theory · Physics 2019-10-23 Gustavo P. de Brito , Astrid Eichhorn , Antonio D. Pereira

The unified theory of string and two-dimensional quantum gravity is considered. The action for two-dimensional gravity is choosen in a well-known induced form and thus gravity posesses it's oun nontrivial dynamics even on the classical…

High Energy Physics - Theory · Physics 2007-05-23 I. L. Buchbinder , I. L. Shapiro , A. G. Sibiryakov

We give new solutions of the quantum conformal deformations of the full Maxwell equations in terms of deformations of the plane wave. We study the compatibility of these solutions with the conservation of the current. We also start the…

Quantum Algebra · Mathematics 2009-11-10 V. K. Dobrev , S. T. Petrov

It is shown that gravitation naturally emerges from the standard model of particle physics if local scale invariance is imposed in the context of a single conformal (Weyl-symmetric) theory. Gravitation is then conformally-related to the…

General Relativity and Quantum Cosmology · Physics 2018-06-15 Meir Shimon

We study how the number of degrees of freedom in Weyl conformal gravity runs with the energy scale from the UV fixed point. To this end we employ two approaches. First, we utilize the Fradkin--Tseytlin prescription for the number of degrees…

High Energy Physics - Theory · Physics 2024-09-30 Stefano Giaccari , Petr Jizba , Jaroslav Kňap , Lesław Rachwał