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Related papers: Unitarized one-loop graviton-graviton scattering

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We use the worldline formalism for calculating the one-loop effective action for the Einstein-Maxwell background induced by charged scalars or spinors, in the limit of low energy and weak gravitational field but treating the electromagnetic…

High Energy Physics - Theory · Physics 2009-03-19 Fiorenzo Bastianelli , Jose Manuel Davila , Christian Schubert

By means of the Inverse Amplitude Method we unitarize the elastic pion-nucleon scattering amplitudes obtained from Heavy Baryon Chiral Perturbation Theory to O(q^3). Within this approach we can enlarge their applicability range and generate…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Gomez Nicola , J. R. Pelaez

Pion-nucleon scattering, pion photoproduction, and nucleon Compton scattering are analyzed within a scheme based on the chiral Lagrangian. Partial-wave amplitudes are obtained by an analytic extrapolation of subthreshold reaction amplitudes…

High Energy Physics - Phenomenology · Physics 2011-02-11 A. M. Gasparyan , M. F. M. Lutz

Within loop quantum gravity we construct a coarse-grained approximation for the Einstein-Maxwell theory that yields effective Maxwell equations in flat spacetime comprising Planck scale corrections. The corresponding Hamiltonian is defined…

High Energy Physics - Theory · Physics 2009-11-07 Jorge Alfaro , Hugo A. Morales-Técotl , Luis F. Urrutia

We present a semi-recursive method for calculating the rational parts of one-loop amplitudes when recursion produces double poles. We illustrate this with the graviton scattering amplitude M^{1-loop}(1-, 2+, 3+, 4+, 5+).

High Energy Physics - Theory · Physics 2010-12-13 David C. Dunbar , James H. Ettle , Warren B. Perkins

We study gravitational waves emitted by a binary system of non-spinning bodies in a quasi-circular inspiral within the framework of Einstein-aether theory. In particular, we compute explicitly and analytically the expressions for the…

General Relativity and Quantum Cosmology · Physics 2021-10-22 Chao Zhang , Xiang Zhao , Anzhong Wang , Bin Wang , Kent Yagi , Nicolas Yunes , Wen Zhao , Tao Zhu

The dimensionful nature of the coupling in the Einstein-Hilbert action in four dimensions implies that the theory is non-renormalizable; explicit calculation shows that beginning at two loop order, divergences arise that cannot be removed…

High Energy Physics - Theory · Physics 2019-08-27 F. T. Brandt , J. Frenkel , D. G. C. McKeon

Gravitationally bound hierarchies containing three or more components are very common in our Universe. In this paper we study {\em periodic} gravitational wave (GW) form, their polarizations, response function, its Fourier transform, and…

Astrophysics of Galaxies · Physics 2019-01-23 Kai Lin , Xiang Zhao , Chao Zhang , Tan Liu , Bin Wang , Shaojun Zhang , Xing Zhang , Wen Zhao , Tao Zhu , Anzhong Wang

In this article, I present an elementary introduction to the theory of gravitational waves. This article is meant for students who have had an exposure to general relativity, but, results from general relativity used in the main discussion…

Physics Education · Physics 2007-05-23 Indrajit Chakrabarty

In this manuscript we review the theoretical foundations of gravitational waves in the framework of Albert Einstein's theory of general relativity. Following Einstein's early efforts we first derive the linearised Einstein field equations…

General Relativity and Quantum Cosmology · Physics 2018-05-22 Alain Dirkes

A Lagrange multiplier field restricts the quantum corrections to the Einstein-Hilbert action at one-loop order, yielding a model that is renormalizable and unitary while reproducing the Einstein field equations in the classical limit.

High Energy Physics - Theory · Physics 2026-05-19 D. G. C. McKeon , F. T. Brandt , J. Frenkel , S. Martins-Filho

We carry out the first step of a program conceived, in order to build a realistic model, having the particle spectrum of the standard model and renormalized masses, interaction terms and couplings, etc. which include the class of quantum…

General Relativity and Quantum Cosmology · Physics 2009-10-28 A. Akhundov , S. Bellucci , A. Shiekh

We argue that the tree-level graviton-scalar scattering in the Regge limit is unitarized by non-perturbative effects within General Relativity. At Planckian energy the back reaction of the incoming graviton on the background geometry…

High Energy Physics - Theory · Physics 2019-11-19 Ivo Sachs , Tung Tran

We show the results for the scattering poles associated to the rho, f0, a0, K*, sigma and kappa resonances in meson-meson scattering. Our amplitudes are obtained from the complete one-loop meson-meson scattering amplitudes from Chiral…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. R. Pelaez , A. Gomez Nicola , .

We develop a renormalization-group formalism for non-renormalizable theories and apply it to Einstein gravity theory coupled to a scalar field with the Lagrangian $L=\sqrt{g} [R U(\phi)-{1/2} G(\phi) g^{\mu\nu} \partial_{\mu}\phi…

General Relativity and Quantum Cosmology · Physics 2011-07-19 A. O. Barvinsky , A. Yu. Kamenshchik , I. P. Karmazin

We present a generalized unitarity method for theories of point-particle worldlines coupled to gravity, analogous to that of scattering amplitudes in quantum field theory. This method allows the computation of perturbative observables from…

High Energy Physics - Theory · Physics 2026-02-25 Vincent F. He , Julio Parra-Martinez

This dissertation consists of four parts. In Part I, we briefly review fundamental theories of gravity, performed experimental tests, and gravitational waves. The framework and the methods that we use in our calculations are discussed in…

General Relativity and Quantum Cosmology · Physics 2013-08-27 Saeed Mirshekari

We consider a new approach to the nucleon-nucleon scattering problem in the framework of the higher-derivative formulation of baryon chiral perturbation theory. Starting with a Lorentz-invariant form of the effective Lagrangian we work out…

Nuclear Theory · Physics 2008-11-26 D. Djukanovic , J. Gegelia , S. Scherer , M. R. Schindler

We show that the Einstein-Hilbert action for the gravitational field can be obtained as a linear low-energy approximation for the dynamical massless fields in the theory with the lagrangian quadratic in the gauge field strength-tensor of…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Kiselev

A theory of quantum gravity has been recently proposed by means of a novel quantization prescription, which is able to turn the poles of the free propagators that are due to the higher derivatives into fakeons. The classical Lagrangian…

High Energy Physics - Theory · Physics 2018-05-09 Damiano Anselmi , Marco Piva