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Related papers: The S-matrix and boundary correlators in flat spac…

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The formulation of the S-matrix as a path integral with specified asymptotic boundary conditions naturally leads to the realization of a Carrollian partition function defined on the boundary of Minkowski space. This partition function,…

High Energy Physics - Theory · Physics 2025-02-06 Per Kraus , Richard M. Myers

We investigate recovery of the bulk S-matrix from the AdS/CFT correspondence, at large radius. It was recently argued that some of the elements of the S-matrix might be read from CFT correlators, given a particular singularity structure of…

High Energy Physics - Theory · Physics 2013-05-29 Michael Gary , Steven B. Giddings

We consider the six-vertex model with the rational weights on an $s\times N$ square lattice, $s\leq N$, with partial domain wall boundary conditions. We study the one-point function at the boundary where the free boundary conditions are…

Mathematical Physics · Physics 2022-01-13 Mikhail D. Minin , Andrei G. Pronko

We revisit the extrapolate dictionary for massless scattering in flat spacetime and identify a soft contribution that is typically dropped from the saddle point approximation. We show how to consistently regulate the extrapolation to…

High Energy Physics - Theory · Physics 2024-10-29 Eivind Jørstad , Sabrina Pasterski

Recent studies by Copetti, C\'ordova and Komatsu have revealed that when non-invertible symmetries are spontaneously broken, the conventional crossing relation of the S-matrix is modified by the effects of the corresponding topological…

High Energy Physics - Theory · Physics 2025-04-14 Soichiro Shimamori , Satoshi Yamaguchi

In this paper we discuss extensions of the canonical quantization procedure in quantum field theories. We focus specifically on S-matrix representation as a T-exponent. This extension involves flat bundles on certain infinite dimensional…

General Physics · Physics 2026-05-22 S. Srednyak

We propose a formula relating scattering S-matrix amplitudes to correlators of a conformal field theory. The proposal implements a flat limit of the field theory, providing an indirect microscopic description of gravitational theories with…

High Energy Physics - Theory · Physics 2019-08-21 Eliot Hijano

For a boundary CFT to give a good approximation to the bulk flat-space S-matrix, a number of conditions need to be satisfied: some of those are investigated here. In particular, one would like to identify an appropriate set of approximate…

High Energy Physics - Theory · Physics 2016-09-21 Mirah Gary , Steven B. Giddings

The focusing theorem in General Relativity underlies causality, singularity theorems, entropy inequalities, and more. In AdS/CFT, we show that focusing in the bulk leads to a bound on CFT $n$-point functions that is generally stronger than…

High Energy Physics - Theory · Physics 2022-12-06 Thomas Hartman , Yikun Jiang , Francesco Sgarlata , Amirhossein Tajdini

We propose a strategy to study massive Quantum Field Theory (QFT) using conformal bootstrap methods. The idea is to consider QFT in hyperbolic space and study correlation functions of its boundary operators. We show that these are solutions…

High Energy Physics - Theory · Physics 2018-01-17 Miguel F. Paulos , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

The scattering equations relate massless scattering kinematics to marked points on a Riemann sphere, and underpin remarkable formulae for the full tree-level S-matrices of many interesting QFTs, including cubic biadjoint scalars, Yang-Mills…

High Energy Physics - Theory · Physics 2026-01-13 Tim Adamo , Iustin Surubaru , Bin Zhu

We study integrals of motion and factorizable S-matrices in two-dimensional integrable field theory with boundary. We propose the ``boundary cross-unitarity equation'' which is the boundary analog of the cross-symmetry condition of the…

High Energy Physics - Theory · Physics 2009-10-22 Subir Ghoshal , Alexander Zamolodchikov

A formulation of nucleon-nucleon scattering is developed in which the S-matrix, rather than an effective-field theory (EFT) action, is the fundamental object. Spacetime plays no role in this description: the S-matrix is a trajectory that…

High Energy Physics - Theory · Physics 2021-08-31 Silas R. Beane , Roland C. Farrell

We study a novel asymptotic limit of massive scalar fields in nongravitational quantum field theories in four-dimensional flat space. We foliate the spacetime into a set of dS$_3$ slices that are spacelike to, and at a constant proper…

High Energy Physics - Theory · Physics 2022-07-14 Alok Laddha , Siddharth G. Prabhu , Suvrat Raju , Pushkal Shrivastava

The bulk point singularity limit of conformal correlation functions in Lorentzian signature acts as a microscope to look into local bulk physics in AdS. From it we can extract flat space scattering processes localized in AdS that ultimate…

High Energy Physics - Theory · Physics 2020-01-08 Carlos Cardona

The boundary correlation functions for a QFT in a fixed AdS background should reduce to S-matrix elements in the flat-space limit. We consider this procedure in detail for four-point functions. With minimal assumptions we rigorously show…

High Energy Physics - Theory · Physics 2023-05-03 Balt C. van Rees , Xiang Zhao

We give a procedure for deriving certain bulk S-matrix elements from corresponding boundary correlators. These are computed in the plane wave limit, via an explicit construction of certain boundary sources that give bulk wavepackets. A…

High Energy Physics - Theory · Physics 2009-11-06 Michael Gary , Steven B. Giddings , Joao Penedones

We formulate an S-matrix theory in which localisation effects of the particle interactions involved in a scattering process are consistently taken into account. In the limit of an infinite spread of all interactions, the S-matrix assumes…

High Energy Physics - Theory · Physics 2023-08-16 Dimitrios Karamitros , Apostolos Pilaftsis

The holographic correspondence predicts that certain strongly coupled quantum systems describe an emergent, higher-dimensional bulk spacetime in which excitations enjoy local dynamics. We consider a general holographic state dual to an…

High Energy Physics - Theory · Physics 2025-02-24 Simon Caron-Huot , Joydeep Chakravarty , Keivan Namjou

The large radius limit in the AdS/CFT correspondence is expected to provide a holographic derivation of flat-space scattering amplitudes. This suggests that questions of locality in the bulk should be addressed in terms of properties of the…

High Energy Physics - Theory · Physics 2009-10-31 Steven B. Giddings
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