scholarly journals The soft $$ \mathcal{S} $$-matrix in gravity

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
E. Himwich ◽  
S.A. Narayanan ◽  
M. Pate ◽  
N. Paul ◽  
A. Strominger
Keyword(s):  
Current Algebra ◽  
Momentum Space ◽  
Anomalous Dimension ◽  
Level Structure ◽  
Soft Factor ◽  
Boundary Currents ◽  
S Matrix ◽  
Celestial Sphere ◽  
Cusp Anomalous Dimension ◽  
Soft Factors

Abstract The gravitational $$ \mathcal{S} $$ S -matrix defined with an infrared (IR) cutoff factorizes into hard and soft factors. The soft factor is universal and contains all the IR and collinear divergences. Here we show, in a momentum space basis, that the intricate expression for the soft factor is fully reproduced by two boundary currents, which live on the celestial sphere. The first of these is the supertranslation current, which generates spacetime supertranslations. The second is its symplectic partner, the Goldstone current for spontaneously broken supertranslations. The current algebra has an off-diagonal level structure involving the gravitational cusp anomalous dimension and the logarithm of the IR cutoff. It is further shown that the gravitational memory effect is contained as an IR safe observable within the soft $$ \mathcal{S} $$ S -matrix.

scholarly journals Soft photon theorem in the small negative cosmological constant limit

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Nabamita Banerjee ◽  
Karan Fernandes ◽  
Arpita Mitra
Keyword(s):  
Cosmological Constant ◽  
Tree Level ◽  
Leading Order ◽  
Asymptotically Flat ◽  
Soft Factor ◽  
Flat Spacetime ◽  
Electromagnetic Interactions ◽  
Flat Spacetimes ◽  
Perturbative Corrections ◽  
Soft Factors

Abstract We study the effect of electromagnetic interactions on the classical soft theorems on an asymptotically AdS background in 4 spacetime dimensions, in the limit of a small cosmological constant or equivalently a large AdS radius l. This identifies 1/l2 perturbative corrections to the known asymptotically flat spacetime leading and subleading soft factors. Our analysis is only valid to leading order in 1/l2. The leading soft factor can be expected to be universal and holds beyond tree level. This allows us to derive a 1/l2 corrected Ward identity, following the known equivalence between large gauge Ward identities and soft theorems in asymptotically flat spacetimes.

scholarly journals Celestial superamplitude in $$ \mathcal{N} $$ = 4 SYM theory

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Hongliang Jiang
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Scattering Amplitudes ◽  
Momentum Space ◽  
Ward Identity ◽  
Yang Mills ◽  
Conformal Field ◽  
New Perspective ◽  
Celestial Sphere

Abstract Celestial amplitude is a new reformulation of momentum space scattering amplitudes and offers a promising way for flat holography. In this paper, we study the celestial amplitudes in $$ \mathcal{N} $$ N = 4 Super-Yang-Mills (SYM) theory aiming at understanding the role of superconformal symmetry in celestial holography. We first construct the superconformal generators acting on the celestial superfield which assembles all the on-shell fields in the multiplet together in terms of celestial variables and Grassmann parameters. These generators satisfy the superconformal algebra of $$ \mathcal{N} $$ N = 4 SYM theory. We also compute the three-point and four-point celestial super-amplitudes explicitly. They can be identified as the conformal correlation functions of the celestial superfields living at the celestial sphere. We further study the soft and collinear limits which give rise to the super-Ward identity and super-OPE on the celestial sphere, respectively. Our results initiate a new perspective of understanding the well-studied $$ \mathcal{N} $$ N = 4 SYM amplitudes via 2D celestial conformal field theory.

scholarly journals Soft Factor In the Implementation of Quality Management Program in Majlis Agama Islam Selangor (MAIS)

2018 ◽  
Vol 10 (3) ◽  
Author(s):  
Musaiyadah Ahmadun ◽  
Siti Arni Basir ◽  
Osman Md Rasip
Keyword(s):  
Quality Management ◽  
Qualitative Method ◽  
Training And Development ◽  
Management Program ◽  
Depth Information ◽  
Soft Or ◽  
Structured Interviews ◽  
Soft Factor ◽  
Soft Factors

Many studies on the implementation of quality management programs were carried out by previous researchers. However, the study on the soft or human factors in the implementation of quality management programs is still poorly explored. Therefore, this article aims to analyze soft factors in the implementation of quality management programs at Selangor Islamic Religious Council or Majlis Agama Islam Selangor (MAIS). This study uses a qualitative method involving MAIS as a case study. Semi-structured interviews were used as a data collection method and supported by relevant documents collected from MAIS. A total of fifteen informants comprising top management and MAIS officers were interviewed to obtain in-depth information on the subjects studied. The findings reveal that there are six soft factors emerged in the implementation of quality management programs at MAIS namely leadership, training and development, teamwork, customer focus, Syura and rewards. This study demonstrates that soft factors has helped facilitate the implementation of quality management programs in MAIS. The results of this study can be used as guidance by managers in public or corporate organizatons in their efforts to implement quality management programs effectively.

scholarly journals Intertwining operator in thermal CFTd

2017 ◽  
Vol 32 (02n03) ◽  
pp. 1750006 ◽  
Author(s):  
Satoshi Ohya
Keyword(s):  
Momentum Space ◽  
Recurrence Relations ◽  
Algebraic Approach ◽  
Space Time ◽  
Conformal Algebra ◽  
Linear Recurrence ◽  
Intertwining Operators ◽  
Intertwining Operator ◽  
Primary Operator ◽  
S Matrix

It has long been known that two-point functions of conformal field theory (CFT) are nothing but the integral kernels of intertwining operators for two equivalent representations of conformal algebra. Such intertwining operators are known to fulfill some operator identities — the intertwining relations — in the representation space of conformal algebra. Meanwhile, it has been known that the S-matrix operator in scattering theory is nothing but the intertwining operator between the Hilbert spaces of in- and out-particles. Inspired by this algebraic resemblance, in this paper, we develop a simple Lie-algebraic approach to momentum-space two-point functions of thermal CFT living on the hyperbolic space–time [Formula: see text] by exploiting the idea of Kerimov’s intertwining operator approach to exact S-matrix. We show that in thermal CFT on [Formula: see text], the intertwining relations reduce to certain linear recurrence relations for two-point functions in the complex momentum space. By solving these recurrence relations, we obtain the momentum-space representations of advanced and retarded two-point functions as well as positive- and negative-frequency two-point Wightman functions for a scalar primary operator in arbitrary space–time dimension [Formula: see text].

S-matrix calculations on a momentum space lattice

1988 ◽  
Vol 4 ◽  
pp. 625-627
Author(s):  
J.F. Briere ◽  
R. Girard ◽  
H. Kröger
Keyword(s):  
Momentum Space ◽  
Space Lattice ◽  
S Matrix

scholarly journals Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension

2016 ◽  
Vol 2016 (5) ◽  
Author(s):  
Marisa Bonini ◽  
Luca Griguolo ◽  
Michelangelo Preti ◽  
Domenico Seminara
Keyword(s):  
Anomalous Dimension ◽  
Cusp Anomalous Dimension

scholarly journals Three-loop cusp anomalous dimension and a conjecture for n loops

2016 ◽  
Vol 31 (13) ◽  
pp. 1650076 ◽  
Author(s):  
Nikolaos Kidonakis
Keyword(s):  
Top Quark ◽  
Anomalous Dimension ◽  
Numerical Results ◽  
Elementary Functions ◽  
Top Quark Production ◽  
Quark Production ◽  
Lower Loop ◽  
Analytical Expressions ◽  
Cusp Anomalous Dimension ◽  
Approximate Formulas

I present analytical expressions for the massive cusp anomalous dimension in QCD through three loops, first calculated in 2014, in terms of elementary functions and ordinary polylogarithms. I observe interesting relations between the results at different loops and provide a conjecture for the n-loop cusp anomalous dimension in terms of the lower-loop results. I also present numerical results and simple approximate formulas for the cusp anomalous dimension relevant to top-quark production.

scholarly journals Matter Dependence of the Four-Loop Cusp Anomalous Dimension

2019 ◽  
Vol 122 (20) ◽  
Author(s):  
J. M. Henn ◽  
T. Peraro ◽  
M. Stahlhofen ◽  
P. Wasser
Keyword(s):  
Anomalous Dimension ◽  
Cusp Anomalous Dimension
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