Generalized Faddeev Integral Equations for Multiparticle Scattering Amplitudes

1965 ◽  
Vol 140 (1B) ◽  
pp. B217-B226 ◽  
Author(s):  
Leonard Rosenberg
Keyword(s):  
Scattering Amplitudes ◽  
Integral Equations ◽  
Multiparticle Scattering

Scattering amplitudes and integral equations for the collision of two charged composite particles

1980 ◽  
Vol 21 (5) ◽  
pp. 1733-1745 ◽  
Author(s):  
E. O. Alt ◽  
W. Sandhas
Keyword(s):  
Scattering Amplitudes ◽  
Integral Equations ◽  
Composite Particles

Multiple scattering of plane harmonic elastic waves in an infinite solid by an arbitrary configuration of obstacles

1969 ◽  
Vol 66 (2) ◽  
pp. 469-480 ◽  
Author(s):  
P. J. Barratt
Keyword(s):  
Scattering Amplitudes ◽  
Integral Equations ◽  
Multiple Scattering ◽  
Elastic Waves ◽  
Iterative Procedure ◽  
Elastic Solid ◽  
Single Scattering ◽  
Far Field ◽  
Rigid Spheres ◽  
Arbitrary Configuration

AbstractThe multiple scattering of plane harmonic P and S waves in an infinite elastic solid by arbitrary configurations of obstacles is considered. Integral equations relating the far-field multiple scattering amplitudes to the corresponding single scattering functions are obtained and asymptotic solutions are found by an iterative procedure. The scattering of a plane harmonic P wave by two identical rigid spheres is investigated.

On the integral equations for three-body scattering amplitudes

1971 ◽  
Vol 1 (25) ◽  
pp. 1057-1060 ◽  
Author(s):  
V. Vanzani ◽  
G. Cattapan
Keyword(s):  
Scattering Amplitudes ◽  
Integral Equations ◽  
Three Body

Three-pion scattering amplitudes and integral equations

1976 ◽  
Vol 13 (8) ◽  
pp. 2352-2363 ◽  
Author(s):  
K. L. Kowalski
Keyword(s):  
Scattering Amplitudes ◽  
Integral Equations ◽  
Pion Scattering

scholarly journals Gauge invariant decomposition of 1-loop multiparticle scattering amplitudes

2002 ◽  
Vol 531 (1-2) ◽  
pp. 83-89 ◽  
Author(s):  
Alessandro Vicini
Keyword(s):  
Scattering Amplitudes ◽  
Gauge Invariant ◽  
Multiparticle Scattering

On the integral equations for the nonrelativistic scattering amplitudes

1969 ◽  
Vol 28 (7) ◽  
pp. 476-479 ◽  
Author(s):  
V.V. Komarov ◽  
A.M. Popova
Keyword(s):  
Scattering Amplitudes ◽  
Integral Equations ◽  
Nonrelativistic Scattering

Integral equations for the analytic extrapolation of scattering amplitudes with positivity constraints

1979 ◽  
Vol 49 (3) ◽  
pp. 307-325 ◽  
Author(s):  
I. Caprini
Keyword(s):  
Scattering Amplitudes ◽  
Integral Equations

scholarly journals Scattering Amplitudes, the AdS/CFT Correspondence, Minimal Surfaces, and Integrability

2010 ◽  
Vol 2010 ◽  
pp. 1-31
Author(s):  
Luis F. Alday
Keyword(s):  
Scattering Amplitudes ◽  
Integral Equations ◽  
Strong Coupling ◽  
Minimal Surfaces ◽  
Four Dimensions ◽  
Detailed Exposition

We focus on the computation of scattering amplitudes of planar maximally supersymmetric Yang-Mill in four dimensions at strong coupling by means of the AdS/CFT correspondence and explain how the problem boils down to the computation of minimal surfaces in AdS in the first part of this paper. In the second part of this review we explain how integrability allows to give a solution to the problem in terms of a set of integral equations. The intention of the review is to give a pedagogical, rather than very detailed, exposition.

scholarly journals QQ-system and non-linear integral equations for scattering amplitudes at strong coupling

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Davide Fioravanti ◽  
Marco Rossi ◽  
Hongfei Shu
Keyword(s):  
Scattering Amplitudes ◽  
Integral Equations ◽  
Bethe Ansatz ◽  
Strong Coupling ◽  
Strong Coupling Limit ◽  
Wilson Loops ◽  
Functional Relations ◽  
Non Linear ◽  
Linear Integral ◽  
Linear Integral Equations

Abstract We provide the two fundamental sets of functional relations which describe the strong coupling limit in AdS3 of scattering amplitudes in $$ \mathcal{N} $$ N = 4 SYM dual to Wilson loops (possibly extended by a non-zero twist l): the basic QQ-system and the derived TQ-system. We use the TQ relations and the knowledge of the main properties of the Q-function (eigenvalue of some Q-operator) to write the Bethe Ansatz equations, viz. a set of (‘complex’) non-linear-integral equations, whose solutions give exact values to the strong coupling amplitudes/Wilson loops. Moreover, they have some advantages with respect to the (‘real’) non-linear-integral equations of Thermodynamic Bethe Ansatz and still reproduce, both analytically and numerically, the findings coming from the latter. In any case, these new functional and integral equations give a larger perspective on the topic also applicable to the realm of $$ \mathcal{N} $$ N = 2 SYM BPS spectra.

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