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Related papers: Froissart bound for/from CFT Mellin amplitudes

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We study the space of $2\to 2$ scattering amplitudes of neutral Goldstone bosons in four space-time dimensions. We establish universal bounds on the first two non-universal Wilson coefficients of the low energy Effective Field Theory (EFT)…

High Energy Physics - Theory · Physics 2023-10-12 Francesca Acanfora , Andrea Guerrieri , Kelian Häring , Denis Karateev

We consider the behavior of the OPE density $c(\Delta,\ell)$ for conformal four-point functions in the flat-space limit where all scaling dimensions become large. We find evidence that the density reduces to the partial waves $f_\ell(s)$ of…

High Energy Physics - Theory · Physics 2024-03-08 Balt C. van Rees , Xiang Zhao

Scalars in AdS${}_{d+1}$ with squared masses in the Breitenlohner-Freedman window $-d^2/4 \le m^2 < -d^2/4 +1$ (in units with the AdS scale $\ell$ set to 1) are known to enjoy a variety of boundary conditions. For larger masses $m^2 >…

High Energy Physics - Theory · Physics 2015-05-28 Tomas Andrade , Donald Marolf

The nearest-neighbor quantum-antiferromagnetic (AF) Heisenberg model for spin 1/2 on a two-dimensional square lattice is studied in the auxiliary-fermion representation. Expressing spin operators by canonical fermionic particles requires a…

Strongly Correlated Electrons · Physics 2009-11-10 Jan Brinckmann , Peter Woelfle

We discuss upper bounds on the mutual information for disjoint spherical regions of the CFT vacuum. To prove our bounds, we utilize the modular nuclearity condition, which is in turn related to finiteness of the thermal partition function…

High Energy Physics - Theory · Physics 2025-10-29 Fikret Ceyhan , Thomas Faulkner

We study Carrollian amplitudes of massless scalars in (1+2) Minkowski space. Using the prescription recently shown by Alday et al. [JHEP 03 (2025) 158] originally designed for the AdS4 Witten diagrams, we show that AdS3 Witten diagrams in…

High Energy Physics - Theory · Physics 2025-04-24 Iustin Surubaru , Bin Zhu

We investigate AdS/CFT correspondence for two families of Einstein black holes in d > 3 dimensions, modelling the boundary CFT by a free conformal scalar field and evaluating the boundary two-point function in the bulk geodesic…

High Energy Physics - Theory · Physics 2009-11-10 Jorma Louko , Jacek Wisniewski

We calculate the mean square amplitude of the shape fluctuation -- an equal-time correlation -- of an almost planar fluid membrane immersed in a near-critical binary fluid mixture. One fluid component is usually preferentially attracted by…

Soft Condensed Matter · Physics 2017-04-26 Youhei Fujitani

We complete the project of specifying the Lorentzian AdS/CFT correspondence and its approximation by bulk semi-classical methods begun by earlier authors. At the end, the Lorentzian treatment is self-contained and requires no analytic…

High Energy Physics - Theory · Physics 2009-11-10 Donald Marolf

Light-Front Holography leads to a rigorous connection between hadronic amplitudes in a higher dimensional anti-de Sitter (AdS) space and frame-independent light-front wavefunctions of hadrons in 3+1 physical space-time, thus providing a…

High Energy Physics - Phenomenology · Physics 2012-03-29 Stanley J. Brodsky , Fu-Guang Cao , Guy F. de Teramond

In celestial holography, four-dimensional scattering amplitudes are considered as two-dimensional conformal correlators of a putative two-dimensional celestial conformal field theory (CCFT). The simplest way of converting momentum space…

High Energy Physics - Theory · Physics 2022-09-07 Wei Fan , Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

We examine the correspondence between the anti-de Sitter (AdS) description of conformal field theories (CFTs) and the unparticle description of CFTs. We show how unparticle actions are equivalent to holographic boundary actions for fields…

High Energy Physics - Phenomenology · Physics 2010-03-18 Giacomo Cacciapaglia , Guido Marandella , John Terning

We present an entirely microscopic calculation of the Casimir force $f(d)$ between two metallic plates in the limit of large separation $d$. The models of metals consist of mobile quantum charges in thermal equilibrium with the photon field…

Quantum Physics · Physics 2009-11-13 P. R. Buenzli , Ph. A. Martin

Exploiting the analytic properties of the scattering amplitude, we provide an alternative but equivalent definition of the standard Mellin transform used to obtain celestial correlation functions. From this representation, we identify a…

High Energy Physics - Theory · Physics 2026-02-04 Eduardo Casali , Riccardo Giordana Pozzi

Using the AdS/CFT correspondence in a confining backgroundand the worldline formalism of gauge field theories,we compute scattering amplitudes with an exchange of quark andantiquark in the $t$-channel corresponding to Reggeon exchange.…

High Energy Physics - Theory · Physics 2008-11-26 R. A. Janik , R. Peschanski

We reconsidered the Coleman de Luccia solution building an AdS4 bubble expanding into a false flat vacuum. In this construction when junction conditions are imposed we find an upper bound to the radius of the AdS4 and a domain wall whose…

High Energy Physics - Theory · Physics 2011-11-14 José A. Rosabal

The present paper discusses the diffusion approximation of the linear Boltzmann equation in cases where the collision frequency is not uniformly large in the spatial domain. Our results apply for instance to the case of radiative transfer…

Analysis of PDEs · Mathematics 2015-03-23 Claude Bardos , Etienne Bernard , François Golse , Rémi Sentis

The Goldstone equivalence theorem allows one to relate scattering amplitudes of massive gauge fields to those of scalar fields in the limit of large scattering energies. We generalize this theorem under the framework of the AdS/CFT…

High Energy Physics - Theory · Physics 2015-08-05 Nikhil Anand , Sean Cantrell

In this work, we formulate a set of rules for writing down $p$-adic Mellin amplitudes at tree-level. The rules lead to closed-form expressions for Mellin amplitudes for arbitrary scalar bulk diagrams. The prescription is recursive in…

High Energy Physics - Theory · Physics 2019-09-04 Christian Baadsgaard Jepsen , Sarthak Parikh

We show that two- and three-point celestial (C)CFT$_{d-1}$ amplitudes can be directly obtained from correlation functions in a unitary Lorentzian CFT$_d$ on $\mathbb{R}\times S^{d-1}$. The recipe involves a rescaling of the operators,…

High Energy Physics - Theory · Physics 2024-05-14 Leonardo Pipolo de Gioia , Ana-Maria Raclariu
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