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Based on the Hamiltonian formalism approach, a generalized L\"uscher's formula for two particle scattering in both the elastic and coupled-channel cases in moving frames is derived from a relativistic Lippmann-Schwinger equation. Some…

高能物理 - 格点 · 物理学 2013-08-09 Peng Guo , Jozef Dudek , Robert Edwards , Adam P. Szczepaniak

The scattering of charged solitons in the complex sine-Gordon field theory is investigated. An exact factorizable S-matrix for the theory is proposed when the renormalized coupling constant takes the values $\lambda^{2}_{R}=4\pi/k$ for any…

高能物理 - 理论 · 物理学 2010-11-01 Nicholas Dorey , Timothy J. Hollwood

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…

核理论 · 物理学 2016-08-16 C. Garcia-Recio , J. Nieves , E. Ruiz Arriola , M. Vicente Vacas

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…

高能物理 - 理论 · 物理学 2015-10-29 Karthik Inbasekar , Sachin Jain , Subhajit Mazumdar , Shiraz Minwalla , V. Umesh , Shuichi Yokoyama

The $s-$wave meson-baryon scattering is analyzed for the strangeness S=0 sector in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. Four channels have been considered: $\pi N$, $\eta N$, $K \Lambda$, $K \Sigma$. The…

高能物理 - 唯象学 · 物理学 2009-11-07 Juan Nieves , Enrique Ruiz Arriola

We study $\mathcal{N} = 3$ supersymmetric Chern-Simons-matter theory coupled to matter in the fundamental representation of $SU(N)$. In the 't Hooft large $N$ limit, we compute the exact $2 \to 2$ scattering amplitudes of the fundamental…

高能物理 - 理论 · 物理学 2020-04-22 Karthik Inbasekar , Lavneet Janagal , Ashish Shukla

We present the first calculation of the scattering amplitude in the singlet channel beyond QCD. The calculation is performed in $SU(2)$ gauge theory with $N_f=2$ fundamental Dirac fermions and based on a finite-volume scattering formalism.…

高能物理 - 格点 · 物理学 2022-01-21 Vincent Drach , Patrick Fritzsch , Antonio Rago , Fernando Romero-López

We present explicit computations and conjectures for $2 \to 2$ scattering matrices in large $N$ {\it $U(N)$} Chern-Simons theories coupled to fundamental bosonic or fermionic matter to all orders in the 't Hooft coupling expansion. The…

高能物理 - 理论 · 物理学 2015-05-20 Sachin Jain , Mangesh Mandlik , Shiraz Minwalla , Tomohisa Takimi , Spenta R. Wadia , Shuichi Yokoyama

The problem of quantizing a class of two-dimensional integrable quantum field theories is considered. The classical equations of the theory are the complex $sl(n)$ affine Toda equations which admit soliton solutions with real masses. The…

高能物理 - 理论 · 物理学 2010-11-01 T. J. Hollowood

The creation of artificial gauge fields in neutral ultracold atom systems has opened the possibility to study the effects of spin-orbit coupling terms in clean environments. This work considers the multi-channel scattering properties of two…

原子物理 · 物理学 2018-09-12 Su-Ju Wang , Q. Guan , D. Blume

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

高能物理 - 唯象学 · 物理学 2008-11-26 C. Garcia-Recio , J. Nieves , E. Ruiz Arriola , M. J. Vicente Vacas

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…

高能物理 - 理论 · 物理学 2015-05-20 Yogesh Dandekar , Mangesh Mandlik , Shiraz Minwalla

We consider the non-relativistic superconformal U(N) X U(N) Chern-Simons theory with level (k,-k) possessing fourteen supersymmetries. We obtain an exact four-point scattering amplitude of the theory to all orders in 1/N and 1/k and prove…

高能物理 - 理论 · 物理学 2017-07-26 Sangnam Park , Dongsu Bak

In this article we formulate and discuss one particle quantum scattering theory on an arbitrary finite graph with $n$ open ends and where we define the Hamiltonian to be (minus) the Laplace operator with general boundary conditions at the…

数学物理 · 物理学 2007-05-23 Vadim Kostrykin , Robert Schrader

We present exact large N calculus of four point function in general Chern-Simons bosonic and fermionic vector models. Applying the LSZ formula to the four point function we determine two body scattering amplitudes in these theories taking a…

高能物理 - 理论 · 物理学 2016-10-12 Shuichi Yokoyama

The $s-$wave meson-baryon scattering is analyzed for the isospin-strangeness $I=1/2, S=0$ and $I=0,S=-1$ sectors, in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. For both sectors, four channels have been…

核理论 · 物理学 2017-08-23 J. Nieves , C. Garcia-Recio , E. Ruiz Arriola , M. J. Vicente Vacas

Recent studies of transport phenomena with complex potentials are explained by generic square root singularities of spectrum and eigenfunctions of non-Hermitian Hamiltonians. Using a two channel problem we demonstrate that such…

量子物理 · 物理学 2010-05-04 W. D. Heiss , R. G. Nazmitdinov

We consider potential scattering theory of a nonrelativistic quantum mechanical 2-particle system in R^2 with anyon statistics. Sufficient conditions are given which guarantee the existence of wave operators and the unitarity of the…

量子物理 · 物理学 2015-06-26 C. Korff , G. Lang , R. Schrader

We investigate the scattering matrix in mass-deformed N>=4 Chern-Simons models including as special cases the BLG and ABJM theories of multiple M2 branes. Curiously the structure of this scattering matrix in three spacetime dimensions is…

高能物理 - 理论 · 物理学 2009-06-19 Abhishek Agarwal , Niklas Beisert , Tristan McLoughlin

Within a multi-channel formulation of $\pi\pi$ scattering, we investigate the use of the finite-volume Hamiltonian approach to resolve scattering observables from lattice QCD spectra. The asymptotic matching of the well-known L\"uscher…

高能物理 - 格点 · 物理学 2014-11-21 Jia-Jun Wu , T. -S. H. Lee , A. W. Thomas , R. D. Young
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