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Quantum gravity coupled to scalar massive matter fields is investigated within the framework of causal perturbation theory. One-loop calculations include matter loop graviton self-energy and matter self-energy and yield ultraviolet finite…

High Energy Physics - Theory · Physics 2009-10-31 Nicola Grillo

A central feature of scattering amplitudes in gravity or gauge theory is the existence of a variety of energetically soft theorems which put constraints on the amplitudes. Celestial amplitudes which are obtained from momentum-space…

High Energy Physics - Theory · Physics 2020-10-28 Andrea Puhm

Quantization of closed string proceeds with a suitable choice of worldsheet vacuum. A priori, the vacuum may be chosen independently for left-moving and right-moving sectors. We construct {\sl ab initio} quantized bosonic string theory with…

High Energy Physics - Theory · Physics 2017-12-11 Kanghoon Lee , Soo-Jong Rey , J. A. Rosabal

The study of the gravitational field produced by a spatially non-local, superposed quantum state of a massive particle is a thrilling area of modern physics. One question to be answered is whether the gravitational field behaves as the…

General Relativity and Quantum Cosmology · Physics 2021-10-28 Rémi Ligez , R. B. MacKenzie , Victor Massart , M. B. Paranjape , U. A. Yajnik

The ultrarelativistic limit of the Kerr - Newman geometry is studied in detail. We find the gravitational shock wave background associated with this limit. We study the scattering of scalar fields in the gravitational shock wave geometries…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. O. Lousto , N. Sánchez

In this paper the general form of scattering amplitudes for massless particles with equal spins s ($s s \to s s$) or unequal spins ($s_a s_b \to s_a s_b$) are derived. The imposed conditions are that the amplitudes should have the lowest…

High Energy Physics - Theory · Physics 2009-10-30 F. A. Berends , W. T. Giele

We develop a formalism, based on spinor-helicity techniques, to generalize the formulation of partial wave unitarity bounds. We discuss unitarity bounds for $N \to M$ (with $N,M \geq 2$) scattering processes -- relevant for high-energy…

High Energy Physics - Phenomenology · Physics 2026-05-26 Luigi C. Bresciani , Gabriele Levati , Paride Paradisi

We prove in two ways that, for a special class of nonlocal field theories consistent with linear and non-linear stability at the classical level, and with unitarity and super-renormalizability or finiteness at the quantum level, the…

High Energy Physics - Theory · Physics 2021-10-29 Leonardo Modesto , Gianluca Calcagni

We derive curvature counterterms in two-dimensional gravity coupled to conformal matter up to infinite order. By construction the higher-order action is equivalent to a finite first-order theory with auxiliary scalar. Due to this…

High Energy Physics - Theory · Physics 2009-10-22 Thomas T. Burwick

We discuss an alternative approach to studying the low energy limit of quantum general relativity. We investigate the low energy limit of a scattering cross-section for two massive scalar particles. Unlike calculations involving the…

General Relativity and Quantum Cosmology · Physics 2023-11-13 Boris Latosh , Anton Yachmenev

Motivated by recent progress in the high-energy description of gravitational scattering, we develop a systematic Regge-theory framework for $2\to2+n$ amplitudes describing the scattering of two massive particles with $n$ graviton emissions,…

High Energy Physics - Theory · Physics 2026-01-30 Francesco Alessio , Vittorio Del Duca , Riccardo Gonzo , Emanuele Rosi

The propagation of a localized wave packet in the conical space-time created by a pointlike massive source in 2+1 dimensional gravity is analyzed. The scattering amplitude is determined and shown to be finite along the classical scattering…

High Energy Physics - Theory · Physics 2009-10-28 M. Alvarez , F. M. de Carvalho Filho , L. Griguolo

We study graviton-graviton scattering in partial-wave amplitudes after unitarizing their Born terms. In order to apply S-matrix techniques, based on unitarity and analyticity, we introduce an S-matrix associated to this resummation that is…

High Energy Physics - Theory · Physics 2022-03-09 D. Blas , J. Martin Camalich , J. A. Oller

The positive energy theorem precludes the possibility of Minkowski flat space decaying by any mechanism. In certain circumstances, however, large quantum fluctuations of the gravitational field could arise---not only at the Planck scale,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. Modanese

We investigate the emergence of infinite-dimensional symmetries in the absence of gauge invariance by analyzing massless scalar theories. We construct an infinite tower of charges that arise from the subleading equations of motion at null…

High Energy Physics - Theory · Physics 2025-06-05 Matías Briceño , Hernán A. González , Alfredo Pérez

We study bounds arising from the analyticity and unitarity of scattering amplitudes in the context of effective field theories with massless particles. We provide an approach that only uses dispersion relations away from the forward limit.…

High Energy Physics - Theory · Physics 2025-10-10 Carl Beadle , Giulia Isabella , Davide Perrone , Sara Ricossa , Francesco Riva , Francesco Serra

We investigate spin- and velocity-dependent contributions to the gravitational inter-particle potential. The methodology adopted here is based on the expansion of the effective action in terms of form factors encoding quantum corrections.…

High Energy Physics - Theory · Physics 2020-10-14 G. P. de Brito , M. G. Campos , L. P. R. Ospedal , K. P. B. Veiga

We derive positivity bounds for scattering amplitudes of particles with arbitrary spin using unitarity, analyticity and crossing symmetry. The bounds imply the positivity of certain low-energy coefficients of the effective action that…

High Energy Physics - Theory · Physics 2017-03-08 Brando Bellazzini

We obtain the matter-graviton scattering amplitude in the gravitational theory of quadratic curvature, which has $R_{\mu\nu}^2$ term in the action. Unitarity bound is not satisfied because of the existence of negative norm states, while an…

High Energy Physics - Theory · Physics 2023-04-12 Yugo Abe , Takeo Inami , Keisuke Izumi

We study the scattering of a massless and neutral test particle in the gravitational field of a body (the string star) made of a large number of scalar states of the superstring. We consider two cases, the one in which these states are…

High Energy Physics - Theory · Physics 2009-10-22 M. Fabbrichesi , R. Iengo , K. Roland
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