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The complete tree-level S-matrix of four dimensional ${\cal N}=4$ super Yang-Mills and ${\cal N} = 8$ supergravity has compact forms as integrals over the moduli space of certain rational maps. In this note we derive formulas for amplitudes…

High Energy Physics - Theory · Physics 2015-06-16 Freddy Cachazo , Song He , Ellis Ye Yuan

We present tree-level $n$-particle on-shell scattering amplitudes of various brane theories with $16$ conserved supercharges. These include the world-volume theory of a probe D3-brane or D5-brane in 10D Minkowski spacetime as well as a…

High Energy Physics - Theory · Physics 2018-01-17 Matthew Heydeman , John H. Schwarz , Congkao Wen

The type IIB supergravity AdS_3 x S^3 x T^4 background with mixed RR and NSNS 3-form fluxes is a near-horizon limit of a non-threshold bound state of D5-D1 and NS5-NS1 branes. The corresponding superstring world-sheet theory is expected to…

High Energy Physics - Theory · Physics 2015-06-15 B. Hoare , A. A. Tseytlin

We study the most general renormalizable ${\cal N}=1$ $U(N)$ Chern-Simons gauge theory coupled to a single (generically massive) fundamental matter multiplet. At leading order in the 't Hooft large $N$ limit we present computations and…

High Energy Physics - Theory · Physics 2015-10-29 Karthik Inbasekar , Sachin Jain , Subhajit Mazumdar , Shiraz Minwalla , V. Umesh , Shuichi Yokoyama

The centrally extended superalgebra psu(2|2)xR^3 was shown to play an important role for the integrable structures of the one-dimensional Hubbard model and of the planar AdS/CFT correspondence. Here we consider its quantum deformation…

High Energy Physics - Theory · Physics 2008-11-26 Niklas Beisert , Peter Koroteev

We investigate the scattering phenomena in two dimensions produced by a general finite-range nonseparable potential. This situation can appear either in a Cartesian geometry or in a heterostructure with cylindrical symmetry. Increasing the…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 P. N. Racec , E. R. Racec , H. Neidhardt

An all orders formula for the $S$-matrix for 2 $\rightarrow$ 2 scattering in large N Chern-Simons theory coupled to a fundamental scalar has recently been conjectured. We find a scaling limit of the theory in which the pole in this…

High Energy Physics - Theory · Physics 2015-05-20 Yogesh Dandekar , Mangesh Mandlik , Shiraz Minwalla

The globalised cascaded scattering matrix technique is a well proven, practical method that can be used to simulate large accelerating RF structures in which realistic fabrication errors to be incorporated in an efficient manner without the…

Accelerator Physics · Physics 2014-11-18 I. Shinton , R. M. Jones

We briefly review results on two-dimensional supersymmetric quantum field theories that exhibit factorizable particle scattering. Our particular focus is on a series of $N\!=\!1$ supersymmetric theories, for which exact $S$-matrices have…

High Energy Physics - Theory · Physics 2007-05-23 M. Moriconi , K. Schoutens

Five supersymmetric scalar deformations of the AdS_5xS^5 geometry are investigated. By switching on condensates for the scalars in the N=4 multiplet with a form which preserves a subgroup of the original R-symmetry, disk and sphere…

High Energy Physics - Theory · Physics 2008-11-26 Jonathan P. Shock

We extend the analysis of Alday and Maldacena for obtaining gluon scattering amplitudes at strong coupling to include external massive quark states. Our quarks are actually the N=2 hypermultiplets which arise when D7-brane probes are…

High Energy Physics - Theory · Physics 2015-03-13 Edwin Barnes , Diana Vaman

A class of matrix models which arises as partition function in U(N) Chern-Simons matter theories on three sphere is investigated. Employing the standard technique of the 1/N expansion we solve the system beyond the planar limit. In…

High Energy Physics - Theory · Physics 2019-12-06 Shuichi Yokoyama

We study the AdS_5 x S^5 sigma-model truncated to the near-flat-space limit to two-loops in perturbation theory. In addition to extending previously known one-loop results to the full SU(2|2)^2 S-matrix we calculate the two-loop correction…

High Energy Physics - Theory · Physics 2008-11-26 T. Klose , T. McLoughlin , J. A. Minahan , K. Zarembo

The $s-$wave meson-baryon scattering amplitude is analyzed for the strangeness $S=-1$ and isospin I=0 sector in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. Four two-body channels have been considered: $\bar K…

Nuclear Theory · Physics 2016-08-16 C. Garcia-Recio , J. Nieves , E. Ruiz Arriola , M. Vicente Vacas

We address the scattering problem in two-dimensional integrable models, focusing on the sine-Gordon theory. We use the S-matrix bootstrap approach based on analytical properties of the S-matrix to compute scattering amplitudes of the…

High Energy Physics - Theory · Physics 2023-11-29 Valeriia Stolbova

We review unitarity and crossing constraints on scattering amplitudes for particles with spin in four dimensional quantum field theories. As an application we study two to two scattering of neutral spin 1/2 fermions in detail. Assuming…

High Energy Physics - Theory · Physics 2022-03-29 Aditya Hebbar , Denis Karateev , Joao Penedones

Motivated by potential applications to holography on space-times of positive curvature, and by the successful twistor description of scattering amplitudes, we propose a new dual matrix formulation of N = 4 gauge theory on S(4). The matrix…

High Energy Physics - Theory · Physics 2015-03-19 Jonathan J. Heckman , Herman Verlinde

We obtain general bounds on scattering processes involving charged particles in 1+1 spacetime dimensions. After a general analysis we derive mostly numerical bounds on couplings in theories with $O(N)$ and $U(N)$ global symmetries. The…

High Energy Physics - Theory · Physics 2020-02-25 Miguel F. Paulos , Zechuan Zheng

We develop a transfer-matrix formulation of the scattering of electromagnetic waves by a general isotropic medium which makes use of a notion of electromagnetic transfer matrix $\mathbf{M}$ that does not involve slicing of the scattering…

Quantum Physics · Physics 2020-09-24 Farhang Loran , Ali Mostafazadeh

We construct a relativistic scattering theory based on a q deformation and large string tension limit of the magnon S-matrix of the string world sheet theory in AdS_5 x S^5. The S-matrix falls naturally into a previously studied class…

High Energy Physics - Theory · Physics 2012-01-18 Ben Hoare , Timothy J. Hollowood , J. Luis Miramontes