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The method of differential renormalization is extended to the calculation of the one-loop graviton and gravitino corrections to $(g-2)_l$ in unbroken supergravity. Rewriting the singular contributions of all the diagrams in terms of only…

High Energy Physics - Phenomenology · Physics 2009-10-30 F. del Aguila , A. Culatti , R. Munoz-Tapia , M. Perez-Victoria

One of the main ideas behind Higher Spin Gravities is that the higher spin symmetry is expected to leave no room for counterterms, thereby eliminating UV divergences that make the pure gravity non-renormalizable. However, until recently it…

High Energy Physics - Theory · Physics 2020-08-26 Evgeny Skvortsov , Tung Tran

We employ an unregulated computation the graviton self-energy from gravitons on de Sitter background to infer the renormalized result. This is used to quantum-correct the linearized Einstein equation. We solve this equation for the…

General Relativity and Quantum Cosmology · Physics 2022-07-11 L. Tan , N. C. Tsamis , R. P. Woodard

We study the quantum mechanical consistency of noncommutative gauge theories by perturbatively analyzing the Wilsonian quantum effective action in the matrix formulation. In the process of integrating out UV states, we find new divergences…

High Energy Physics - Theory · Physics 2016-09-06 Eric Nicholson

Einstein's General Relativity (GR) is a dynamical theory of the spacetime metric. We describe an approach in which GR becomes an SU(2) gauge theory. We start at the linearised level and show how a gauge theoretic Lagrangian for…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Kirill Krasnov

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 verify explicitly that UV/IR mixing for noncommutative gauge theory can be understood in terms of an induced gravity action, as predicted by the identification [1] of gravity within matrix models of NC gauge theory. More precisely, we…

High Energy Physics - Theory · Physics 2008-11-26 Harald Grosse , Harold Steinacker , Michael Wohlgenannt

The recent classical nonlocal generalization of Einstein's theory of gravitation is presented within the framework of general relativity via the introduction of a preferred frame field. The nonlocal generalization of Einstein's field…

General Relativity and Quantum Cosmology · Physics 2015-06-22 B. Mashhoon

This review is focused on tests of Einstein's theory of general relativity with gravitational waves that are detectable by ground-based interferometers and pulsar-timing experiments. Einstein's theory has been greatly constrained in the…

General Relativity and Quantum Cosmology · Physics 2024-08-13 Nicolas Yunes , Xavier Siemens , Kent Yagi

The possible local counterterms to supergravity are investigated to all loop orders. Supersymmetry implies that (1) supergravity-matter coupling is one-loop nonrenormalizable, with a specific counterterm; (2) pure supergravity is…

High Energy Physics - Theory · Physics 2015-06-12 S. Deser , J. H. Kay , K. S. Stelle

For loops with UV divergences, assuming that the physical contributions of loops from UV regions are insignificant, a method of UV-free scheme described by an equation is introduced to derive loop results without UV divergences in…

High Energy Physics - Phenomenology · Physics 2025-09-11 Lian-Bao Jia

We hereby present a class of multidimensional higher derivative theories of gravity that realizes an ultraviolet completion of Einstein general relativity. This class is marked by a "non-polynomal" entire function (form factor), which…

High Energy Physics - Theory · Physics 2013-05-30 Leonardo Modesto

The classical Einstein's gravity can be reformulated from the constrained U(2,2) gauge theory on the ordinary (commutative) four-dimensional spacetime. Here we consider a noncommutative manifold with a symplectic structure and construct a…

High Energy Physics - Theory · Physics 2011-02-01 Yan-Gang Miao , Zhao Xue , Shao-Jun Zhang

Motivated by the conjecture that the cosmological constant problem could be solved by strong quantum effects in the infrared we use the exact flow equation of Quantum Einstein Gravity to determine the renormalization group behavior of a…

High Energy Physics - Theory · Physics 2009-11-07 M. Reuter , F. Saueressig

It is an old speculation in physics that, once the gravitational field is successfully quantized, it should serve as the natural regulator of infrared and ultraviolet singularities that plague quantum field theories in a background metric.…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Thomas Thiemann

We construct a model for noncommutative gravity in four dimensions, which reduces to the Einstein-Hilbert action in the commutative limit. Our proposal is based on a gauge formulation of gravity with constraints. While the action is metric…

High Energy Physics - Theory · Physics 2017-08-23 Matteo A. Cardella , Daniela Zanon

The linearization of a type of $f(R)$ gravity is studied directly in the higher-order frame for an arbitrary five-dimensional warped space-time background. The quadratic actions of the normal modes of the scalar, vector, and tensor…

General Relativity and Quantum Cosmology · Physics 2017-06-20 Yuan Zhong , Yu-Xiao Liu

A hallmark of non-perturbative theories of quantum gravity is the absence of a fixed background geometry, and therefore the absence in a Planckian regime of any notion of length or scale that is defined a priori. This has potentially…

High Energy Physics - Theory · Physics 2020-02-06 J. Ambjorn , J. Gizbert-Studnicki , A. Goerlich , J. Jurkiewicz , R. Loll

Through use of the Pauli-Villars regulator procedure we construct a second- plus fourth-order-derivative theory of gravity that serves as an ultraviolet completion of standard second-order-derivative quantum Einstein gravity that is…

High Energy Physics - Theory · Physics 2024-04-26 Philip D. Mannheim

We derive rigorous bounds on corrections to Einstein gravity using unitarity and analyticity of graviton scattering amplitudes. In $D\geq 4$ spacetime dimensions, these consistency conditions mandate positive coefficients for certain…

High Energy Physics - Theory · Physics 2016-04-06 Brando Bellazzini , Clifford Cheung , Grant N. Remmen
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