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Related papers: Conformal gravity 1-loop partition function

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Weyl conformal symmetry can solve the problem the spacetime singularities present in Einstein's gravity. In a recent paper, two of us have found a singularity-free rotating black hole solution in conformal gravity. In addition to the mass…

General Relativity and Quantum Cosmology · Physics 2018-07-11 Cosimo Bambi , Zheng Cao , Leonardo Modesto

We propose a first-order geometric Lagrangian for four-dimensional conformal gravity within the Cartan formulation, which yields, dynamically, the standard constraints on the fields, expected for conformal gravity. Upon imposing the…

High Energy Physics - Theory · Physics 2026-02-11 L. Andrianopoli , R. D'Auria , G. Grosso , L. Ravera

The recent results of [J. Dubail, J.-M. St\'ephan, J. Viti, P. Calabrese, Scipost Phys. 2, 002 (2017)], which aim at providing access to large scale correlation functions of inhomogeneous critical one-dimensional quantum systems -- e.g. a…

Statistical Mechanics · Physics 2019-05-01 Paola Ruggiero , Yannis Brun , Jérome Dubail

We continue the study of the one-loop partition function of AdS$_3$ gravity with focus on the square-integrability condition on the fluctuating fields. In a previous work we found that the Brown-Henneaux boundary conditions follow directly…

High Energy Physics - Theory · Physics 2022-01-05 Joel Acosta , Alan Garbarz , Andres Goya , Mauricio Leston

{We examine the critical behaviour i. e. $P-V$ criticality of conformal gravity~(CG) in an extended phase space in which the cosmological constant should be interpreted as a thermodynamic pressure and the corresponding conjugate quantity as…

General Relativity and Quantum Cosmology · Physics 2018-02-20 Parthapratim Pradhan

We present an extension to arbitrary dimensions of a worldline path integral approach to one-loop quantum gravity, which was previously formulated in four spacetime dimensions. By utilizing this method, we recalculate gauge invariant…

High Energy Physics - Theory · Physics 2024-04-19 Fiorenzo Bastianelli , Mattia Damia Paciarini

We use dimensional regularization to compute the 1PI 1-point function of quantum gravity at one loop order in a locally de Sitter background. As with other computations, the result is a finite constant at this order. It corresponds to a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 N. C. Tsamis , R. P. Woodard

We present a three-parameter family of analytic black-hole solutions in the bosonic sector of a four-dimensional supersymmetric model with matter fields in the adjoint representation. The solutions are endowed with curvature and torsional…

High Energy Physics - Theory · Physics 2023-01-09 Pedro D. Alvarez , Cristóbal Corral , Jorge Zanelli

The 1+3 covariant approach and the covariant gauge-invariant approach to perturbations are used to analyze in depth conformal transformations in cosmology. Such techniques allow us to obtain very interesting insights on the physical content…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Sante Carloni , Emilio Elizalde , Sergei Odintsov

The quantum gravity problem of N point particles interacting with the gravitational field in 2+1 dimensions is approached working out the phase-space functional integral. The maximally slicing gauge is adopted for a non compact open…

High Energy Physics - Theory · Physics 2017-08-23 Luigi Cantini , Pietro Menotti

We investigate the role of the torsion field at the quantum level in the affine-metric theory of gravity. One-loop counterterms are calculated in the theory with terms quadratic in the torsion field.

High Energy Physics - Theory · Physics 2014-11-18 M. Yu. Kalmykov , P. I. Pronin

First, we obtain the plane wave solution of the linearized massive conformal gravity field equations. It is shown that the theory has seven physical plane waves. In addition, we investigate the gravitational radiation from binary systems in…

General Relativity and Quantum Cosmology · Physics 2020-08-26 F. F. Faria

We calculate the one loop partition function for topologically massive higher spin gravity (TMHSG) for arbitrary spin by taking the spin-3 TMHSG action constructed in arXiv:1107.0915 and subsequently generalising it for an arbitrary spin.…

High Energy Physics - Theory · Physics 2013-01-14 Arjun Bagchi , Shailesh Lal , Arunabha Saha , Bindusar Sahoo

We apply the analytic conformal bootstrap method to study weakly coupled conformal gauge theories in four dimensions. We employ twist conformal blocks to find the most general form of the one-loop four-point correlation function of…

High Energy Physics - Theory · Physics 2018-04-04 Johan Henriksson , Tomasz Lukowski

We discuss the geometry of dynamical triangulations associated with 3-dimensional and 4-dimensional simplicial quantum gravity. We provide analytical expressions for the canonical partition function in both cases, and study its large volume…

High Energy Physics - Theory · Physics 2008-11-26 J. Ambjorn , M. Carfora , A. Marzuoli

We introduce a method for computing conformal blocks of operators in arbitrary Lorentz representations in any spacetime dimension, making it possible to apply bootstrap techniques to operators with spin. The key idea is to implement the…

High Energy Physics - Theory · Physics 2019-08-23 David Simmons-Duffin

We apply the conformal gravity theory to a sample of 111 spiral galaxies whose rotation curve data points extend well beyond the optical disk. With no free parameters other than galactic mass to light ratios, the theory is able to account…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Philip D. Mannheim , James G. O'Brien

Given a conformal mapping $f$ of the unit disk $\mathbb D$ onto a simply connected domain $D$ in the complex plane bounded by a closed Jordan curve, we consider the problem of constructing a matching conformal mapping, i.e., the mapping of…

Complex Variables · Mathematics 2008-06-06 Erlend Grong , Pavel Gumenyuk , Alexander Vasil'ev

We initiate an approach to constraining conformal field theory (CFT) data at finite temperature using methods inspired by the conformal bootstrap for vacuum correlation functions. We focus on thermal one- and two-point functions of local…

High Energy Physics - Theory · Physics 2018-11-14 Luca Iliesiu , Murat Koloğlu , Raghu Mahajan , Eric Perlmutter , David Simmons-Duffin

We study 3D pure Einstein quantum gravity with negative cosmological constant, in the regime where the AdS radius $l$ is of the order of the Planck scale. Specifically, when the Brown-Henneaux central charge $c=3l/2G_N$ ($G_N$ is the 3D…

High Energy Physics - Theory · Physics 2020-12-02 Chao-Ming Jian , Andreas W. W. Ludwig , Zhu-Xi Luo , Hao-Yu Sun , Zhenghan Wang