scholarly journals Bounds on Regge growth of flat space scattering from bounds on chaos

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Deeksha Chandorkar ◽  
Subham Dutta Chowdhury ◽  
Suman Kundu ◽  
Shiraz Minwalla

Abstract We study four-point functions of scalars, conserved currents, and stress tensors in a conformal field theory, generated by a local contact term in the bulk dual description, in two different causal configurations. The first of these is the standard Regge configuration in which the chaos bound applies. The second is the ‘causally scattering configuration’ in which the correlator develops a bulk point singularity. We find an expression for the coefficient of the bulk point singularity in terms of the bulk S matrix of the bulk dual metric, gauge fields and scalars, and use it to determine the Regge scaling of the correlator on the causally scattering sheet in terms of the Regge growth of this S matrix. We then demonstrate that the Regge scaling on this sheet is governed by the same power as in the standard Regge configuration, and so is constrained by the chaos bound, which turns out to be violated unless the bulk flat space S matrix grows no faster than s2 in the Regge limit. It follows that in the context of the AdS/CFT correspondence, the chaos bound applied to the boundary field theory implies that the S matrices of the dual bulk scalars, gauge fields, and gravitons obey the Classical Regge Growth (CRG) conjecture.

2017 ◽  
Vol 2017 ◽  
pp. 1-11
Author(s):  
Edward Quijada ◽  
Henrique Boschi-Filho

We study analytically and numerically the interaction potentials between a pair of quark and antiquark on D3, M2, and M5 branes. These potentials are obtained using Maldacena’s method involving Wilson loops and present confining and nonconfining behaviours in different situations that we explore in this work. In particular, at the near horizon geometry, the potentials are nonconfining in agreement with conformal field theory expectations. On the other side, far from horizon, the dual field theories are no longer conformal and the potentials present confinement. This is in agreement with the behaviour of strings in flat space where the string mimics the expected flux tube of QCD. A study of the transition between the confining/nonconfining regimes in the three different scenarios (D3, M2, and M5) is also performed.


1993 ◽  
Vol 08 (10) ◽  
pp. 1815-1821 ◽  
Author(s):  
R.K. KAUL ◽  
R. RAJARAMAN

We derive nonlocal conserved currents in the massive Thirring model, treating the model as a perturbation on a conformal field theory. These currents carry fermion number two, and reduce to polynomials in the Fermi field for the special values of the Thirring coupling g=n/2.


1991 ◽  
Vol 06 (11) ◽  
pp. 2005-2023 ◽  
Author(s):  
R.H. POGHOSSIAN

Recently Zamolodchikov and Fateev have constructed a series of models of the two-dimensional conformal field theory containing spin 4/3 nonlocal (parafermion) currents. From degenerated fields one can construct a closed operator algebra with respect to the operator product expansions. All the structure constants of this algebra are computed in this paper.


2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Carlos Cardona ◽  
Cynthia Keeler ◽  
William Munizzi

Abstract In this work we apply the lightcone bootstrap to a four-point function of scalars in two-dimensional conformal field theory. We include the entire Virasoro symmetry and consider non-rational theories with a gap in the spectrum from the vacuum and no conserved currents. For those theories, we compute the large dimension limit (h/c ≫ 1) of the OPE spectral decomposition of the Virasoro vacuum. We then propose a kernel ansatz that generalizes the spectral decomposition beyond h/c ≫ 1. Finally, we estimate the corrections to the OPE spectral densities from the inclusion of the lightest operator in the spectrum.


1996 ◽  
Vol 11 (24) ◽  
pp. 1929-1945 ◽  
Author(s):  
ERNEST BAVER ◽  
DORON GEPNER

The initial classification of fusion rules have shown that rational conformal field theory is very limited. In this letter we study the fusion rules of extended current algebras. Explicit formulas are given for the S-matrix and the fusion rules, based on the full splitting of the fixed point fields. We find that in some cases sensible fusion rules are obtained, while in others this procedure leads to fractional fusion constants.


2014 ◽  
Vol 6 (2) ◽  
pp. 1079-1105
Author(s):  
Rahul Nigam

In this review we study the elementary structure of Conformal Field Theory in which is a recipe for further studies of critical behavior of various systems in statistical mechanics and quantum field theory. We briefly review CFT in dimensions which plays a prominent role for example in the well-known duality AdS/CFT in string theory where the CFT lives on the AdS boundary. We also describe the mapping of the theory from the cylinder to a complex plane which will help us gain an insight into the process of radial quantization and radial ordering. Finally we will develop the representation of the Virasoro algebra which is the well-known "Verma module".  


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