scholarly journals Recursion relations and scattering amplitudes in the light-front formalism

2013 ◽  
Vol 875 (2) ◽  
pp. 368-387 ◽  
Author(s):  
C.A. Cruz-Santiago ◽  
A.M. Staśto
Keyword(s):  
Scattering Amplitudes ◽  
Light Front ◽  
Recursion Relations

scholarly journals Open associahedra and scattering forms

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Aidan Herderschee ◽  
Fei Teng
Keyword(s):  
Scattering Amplitudes ◽  
Canonical Form ◽  
Recursion Relations ◽  
Fiber Product ◽  
New Phenomena

Abstract We continue the study of open associahedra associated with bi-color scattering amplitudes initiated in ref. [1]. We focus on the facet geometries of the open associahedra, uncovering many new phenomena such as fiber-product geometries. We then provide novel recursion procedures for calculating the canonical form of open associahedra, generalizing recursion relations for bounded polytopes to unbounded polytopes.

scholarly journals Applications of AdS/CFT Duality to QCD

2006 ◽  
Vol 21 (04) ◽  
pp. 762-768 ◽  
Author(s):  
Stanley J. Brodsky ◽  
Guy F. de Téramond
Keyword(s):  
Scattering Amplitudes ◽  
Quantum Chromodynamics ◽  
Power Law ◽  
Mass Parameter ◽  
Light Quark ◽  
Form Factors ◽  
Light Front ◽  
Baryon Spectrum ◽  
Conformal Theory ◽  
Counting Rules

Even though quantum chromodynamics is a broken conformal theory, the AdS/CFT correspondence has led to important insights into the properties of QCD. For example, as shown by Polchinski and Strassler, dimensional counting rules for the power-law falloff of hadron scattering amplitudes follow from dual holographic models with conformal behavior at short distances and confinement at large distances. We find that one also obtains a remarkable representation of the entire light-quark meson and baryon spectrum, including all orbital excitations, based on only one mass parameter. We also show how hadron light-front wavefunctions and hadron form factors in both the space-like and time-like regions can be predicted.

scholarly journals Scattering amplitudes in the light-front formalism

2015 ◽  
Vol 85 ◽  
pp. 82-131 ◽  
Author(s):  
C. Cruz-Santiago ◽  
P. Kotko ◽  
A.M. Staśto
Keyword(s):  
Scattering Amplitudes ◽  
Light Front

scholarly journals ANALYTIC SCATTERING AMPLITUDES FOR QCD

2008 ◽  
Vol 23 (12) ◽  
pp. 847-856 ◽  
Author(s):  
DIANA VAMAN ◽  
YORK-PENG YAO
Keyword(s):  
Scattering Amplitudes ◽  
Gauge Invariance ◽  
Recursion Relations

By analytically continuing QCD scattering amplitudes through specific complexified momenta, one can study and learn about the nature and the consequences of factorization and unitarity. In some cases, when coupled with the largest time equation and gauge invariance requirement, this approach leads to recursion relations, which greatly simplify the construction of multi-gluon scattering amplitudes. The setting for this discussion is in the space-cone gauge.

scholarly journals QUANTUM RINGS AND RECURSION RELATIONS IN 2D QUANTUM GRAVITY

1992 ◽  
Vol 07 (16) ◽  
pp. 1419-1425 ◽  
Author(s):  
SHAMIT KACHRU
Keyword(s):  
Scattering Amplitudes ◽  
String Theory ◽  
Quantum Gravity ◽  
Matrix Model ◽  
Ring Structure ◽  
Two Dimensional ◽  
Recursion Relations ◽  
Quantum Rings ◽  
Bulk Scattering

I study tachyon condensate perturbations to the action of the two-dimensional string theory corresponding to the c=1 matrix model. These are shown to deform the action of the ground ring on the tachyon modules, confirming a conjecture of Witten. The ground ring structure is used to derive recursion relations which relate (N+1) and N tachyon bulk scattering amplitudes. These recursion relations allow one to compute all bulk amplitudes.

scholarly journals Yangian and SUSY symmetry of high spin parton splitting amplitudes in generalised Yang–Mills theory

2017 ◽  
Vol 32 (23) ◽  
pp. 1750121 ◽  
Author(s):  
Roland Kirschner ◽  
George Savvidy
Keyword(s):  
Scattering Amplitudes ◽  
Gauge Field ◽  
High Spin ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Recursion Relations ◽  
Yang Mills ◽  
Underlying Theory ◽  
Half Integer ◽  
Yangian Symmetry

We have calculated the high spin parton splitting amplitudes postulating the Yangian symmetry of the scattering amplitudes for tensor gluons. The resulting splitting amplitudes coincide with the earlier calculations, which were based on the BCFW recursion relations. The resulting formula unifies all known splitting probabilities found earlier in gauge field theories. It describes splitting probabilities for integer and half-integer spin particles. We also checked that the splitting probabilities fulfil the generalised Kounnas–Ross [Formula: see text] = 1 supersymmetry relations hinting to the fact that the underlying theory can be formulated in an explicit supersymmetric manner.

scholarly journals Plahte diagrams for string scattering amplitudes

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Pongwit Srisangyingcharoen ◽  
Paul Mansfield
Keyword(s):  
Scattering Amplitudes ◽  
Analytic Continuation ◽  
Complex Plane ◽  
Open String ◽  
Tree Level ◽  
Recursion Relations ◽  
Sign Changes ◽  
String Amplitudes

Abstract Plahte identities are monodromy relations between open string scattering amplitudes at tree level derived from the Koba-Nielsen formula. We represent these identities by polygons in the complex plane. These diagrams make manifest the appearance of sign changes and singularities in the analytic continuation of amplitudes. They provide a geometric expression of the KLT relations between closed and open string amplitudes. We also connect the diagrams to the BCFW on-shell recursion relations and generalise them to complex momenta resulting in a relation between the complex phases of partial amplitudes.

scholarly journals Recursion relations for multi-gluon off-shell amplitudes on the light-front and Wilson lines

2015 ◽  
Vol 895 ◽  
pp. 132-160 ◽  
Author(s):  
C. Cruz-Santiago ◽  
P. Kotko ◽  
A.M. Staśto
Keyword(s):  
Light Front ◽  
Recursion Relations

scholarly journals Weights, recursion relations and projective triangulations for positive geometry of scalar theories

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Renjan Rajan John ◽  
Ryota Kojima ◽  
Sujoy Mahato
Keyword(s):  
Scattering Amplitudes ◽  
Detailed Analysis ◽  
Tree Level ◽  
Massless Scalar ◽  
Weighted Sum ◽  
Canonical Forms ◽  
Factorization Property ◽  
Scalar Theory ◽  
Recursion Relations ◽  
Scalar Theories

Abstract The story of positive geometry of massless scalar theories was pioneered in [1] in the context of bi-adjoint ϕ3 theories. Further study proposed that the positive geometry for a generic massless scalar theory with polynomial interaction is a class of polytopes called accordiohedra [2]. Tree-level planar scattering amplitudes of the theory can be obtained from a weighted sum of the canonical forms of the accordiohedra. In this paper, using results of the recent work [3], we show that in theories with polynomial interactions all the weights can be determined from the factorization property of the accordiohedron. We also extend the projective recursion relations introduced in [4, 5] to these theories. We then give a detailed analysis of how the recursion relations in ϕp theories and theories with polynomial interaction correspond to projective triangulations of accordiohedra. Following the very recent development [6] we also extend our analysis to one-loop integrands in the quartic theory.

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