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The leading eikonal S-matrix for three graviton scattering in d=11 supergravity and Matrix Theory are shown to precisely agree. The result unifies the source-probe plus recoil approach of Okawa and Yoneya and relaxes the restriction imposed…

High Energy Physics - Theory · Physics 2009-10-31 R. Helling , J. Plefka , M. Serone , A. Waldron

We discuss the role of gravitational corrections to the running of the electric charge through the evaluation of scattering amplitudes of charged particles in massless scalar electrodynamics. Computing the complete divergent part of the…

High Energy Physics - Theory · Physics 2015-06-16 B. Charneski , A. C. Lehum , A. J. da Silva

Scattering amplitudes mediated by graviton exchange display IR singularities in the forward limit. This obstructs standard application of positivity bounds based on twice subtracted dispersion relations. Such divergences can be cancelled…

High Energy Physics - Theory · Physics 2022-11-23 M. Herrero-Valea , A. S. Koshelev , A. Tokareva

We compute the effective action for scattering of three well-separated extremal brane solutions, in 11d supergravity, with zero p_ transfer and small transverse velocities. Using an interpretation of the conjecture of Maldacena, following…

High Energy Physics - Theory · Physics 2009-09-11 Jim McCarthy , Leonard Susskind , Andy Wilkins

We compute graviton scattering amplitudes in M-theory using Feynman rules for a scalar particle coupled to gravity in eleven dimensions. The processes that we consider describe the single graviton exchange and the double graviton exchange,…

High Energy Physics - Theory · Physics 2016-08-25 Katrin Becker , Melanie Becker

The technology required for eikonal scattering amplitude calculations in Matrix theory is developed. Using the entire supersymmetric completion of the v^4/r^7 Matrix theory potential we compute the graviton-graviton scattering amplitude and…

High Energy Physics - Theory · Physics 2009-10-31 Jan C. Plefka , Marco Serone , Andrew K. Waldron

In this paper we derive a formula for the energy loss due to elastic N to N particle scattering in models with extra dimensions that are compactified on a radius R. In contrast to a previous derivation we also calculate additional terms…

High Energy Physics - Theory · Physics 2008-11-26 B. Koch , M. Bleicher

We use a recently derived integral representation of the one-loop effective action in Einstein-Maxwell theory for an explicit calculation of the part of the effective action containing the information on the low energy limit of the…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Jose Manuel Davila , Christian Schubert

We employ the LSZ reduction formula for Matrix Theory introduced in our earlier work to compute the t-pole S-matrix for three form-three form scattering. The result agrees completely with tree level D=11 SUGRA. Taken together with previous…

High Energy Physics - Theory · Physics 2009-10-31 Jan Plefka , Marco Serone , Andrew Waldron

We clarify conflicting results in the literature on coefficient functions in front of higher twist operators contributing to the parton sum rules for deep inelastic scattering from polarized targets. The necessary corrections do not affect…

High Energy Physics - Phenomenology · Physics 2009-10-22 I. I. Balitsky , V. M. Braun , A. V. Kolesnichenko

We study the leading order spin dependence of graviton scattering in eleven dimensions, and show that the results obtained from supergravity and from Matrix Theory precisely agree.

High Energy Physics - Theory · Physics 2009-10-30 Per Kraus

We explore the effective field theory for single and multiple interacting pseudo-linear spin-2 fields. By applying forward limit positivity bounds, we show that among the parameters contributing to elastic tree level scattering amplitude,…

High Energy Physics - Theory · Physics 2020-08-26 Lasma Alberte , Claudia de Rham , Arshia Momeni , Justinas Rumbutis , Andrew J. Tolley

We consider a general two-dimensional gravity model minimally or nonminimally coupled to a scalar field. The canonical form of the model is elucidated, and a general solution of the equations of motion in the massless case is reviewed. In…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. O. Katanaev

We study the stability of the Vainshtein screening solution of the massive/bi-gravity based on the massive nonlinear sigma model as the effective action inside the Vainshtein radius. The effective action is obtained by taking the…

High Energy Physics - Theory · Physics 2016-09-30 Katsuki Aoki , Shuntaro Mizuno

We study inverse scattering for $\Delta_g+V$ on $(X,g)$ a conformally compact manifold with metric $g,$ with variable sectional curvature $-\alf^2(y)$ at the boundary and $V\in C^\infty(X)$ not vanishing at the boundary. We prove that the…

Analysis of PDEs · Mathematics 2015-10-14 Leonardo Marazzi

In this paper, we discuss the noncommutative QED$_2$ in the S-matrix framework. We are interested in perturbatively proving that the exact Schwinger mass $\mu^2=\frac{e^2}{\pi}$ does not receive noncommutative corrections to any order in…

High Energy Physics - Theory · Physics 2018-03-08 M. Ghasemkhani , A. A. Varshovi , R. Bufalo

An equality of particle and antiparticle gravitational interactions holds in general relativity and is supported by indirect observations. Gravity dependence on rotation or spin direction is experimentally constrained for non-relativistic…

High Energy Physics - Phenomenology · Physics 2020-12-23 V. Gharibyan

We analyze low-energy scattering of positrons on Ar atoms and N2 molecules using Modified Effective-Range Theory (MERT) developped by O'Malley, Spruch and Rosenberg [Journal of Math. Phys. 2, 491 (1961)]. We use formulation of MERT based on…

Atomic Physics · Physics 2009-11-11 Zbigniew Idziaszek , Grzegorz Karwasz

We consider Riemann-Cartan gravity with minimal Palatini action, which is classically equivalent to Einstein gravity. Following the ideas of L.Lipatov \cite{LipGrav} we propose the effective action for this theory aimed at the description…

High Energy Physics - Theory · Physics 2022-01-19 S. Bondarenko , S. Pozdnyakov , M. A. Zubkov

We present a multiple-scattering model for the effective refractive index of an arbitrarily dense suspension of forward-scattering particles. The model provides a very simple formula for the effective refractive index of such a suspension…

Optics · Physics 2023-08-02 Alexander Nahmad-Rohen , Augusto García-Valenzuela