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Several new results on the multicritical behavior of rectangular matrix models are presented. We calculate the free energy in the saddle point approximation, and show that at the triple-scaling point, the result is the same as that derived…

High Energy Physics - Theory · Physics 2010-11-01 Rene Lafrance , Robert C. Myers

We consider the exchange relations of screened vertex operators in the sl3 Wess-Zumino-Novikov-Witten(WZNW) model in the semiclassical limit (where level k tends to infinity). We demonstrate that the coefficients of the exchange relations…

High Energy Physics - Theory · Physics 2014-08-12 Sho Deguchi

In this work, we provide a method which allows to compute exactly the multipoint and multi-time correlation functions of a one-dimensional stochastic model of dimer adsorption-evaporation with random (uncorrelated) initial states. In…

Statistical Mechanics · Physics 2016-08-31 Mauro Mobilia

The self-energy of the critical 3-dimensional O(N) model is calculated. The analysis is performed in the context of the Non-Perturbative Renormalization Group, by exploiting an approximation which takes into account contributions of an…

Statistical Mechanics · Physics 2008-11-26 Federico Benitez , Ramon Mendez Galain , Nicolas Wschebor

We analyse the general structure of the three-point functions involving conserved higher-spin currents $J_{s} := J_{\alpha(i) \dot{\alpha}(j)}$ belonging to any Lorentz representation in four-dimensional conformal field theory. Using the…

High Energy Physics - Theory · Physics 2023-10-13 Evgeny I. Buchbinder , Benjamin J. Stone

We investigate whether it is possible to study perturbatively the transition in cosmological clustering between a single streamed flow to a multi streamed flow. We do this by considereing a system whose dynamics is governed by the…

Astrophysics · Physics 2009-10-28 Somnath Bharadwaj

We study the excitation spectrum and the correlation functions of the Z_3- chiral Potts model in the massive high-temperature phase using perturbation expansions and numerical diagonalization. We are mainly interested in results for general…

High Energy Physics - Theory · Physics 2009-10-28 A. Honecker , G. von Gehlen

We study correlation functions of Wilson loops and local operators in a subsector of N=4 SYM which preserves two supercharges. Localization arguments allow to map the problem to a calculation in bosonic two-dimensional Yang-Mills theory. In…

High Energy Physics - Theory · Physics 2015-06-05 Simone Giombi , Vasily Pestun

We compute all dynamical spin-spin correlation functions for the spin-1/2 $XXZ$ anisotropic Heisenberg model in the gapless antiferromagnetic regime, using numerical sums of exact determinant representations for form factors of spin…

Strongly Correlated Electrons · Physics 2009-11-11 J. -S. Caux , R. Hagemans , J. -M. Maillet

We study string theory on the extended spacetime of the BTZ black hole, as described by an orbifold of the SL(2,R) WZW model. The full spacetime has an infinite number of disconnected boundary components, each corresponding to a dual CFT.…

High Energy Physics - Theory · Physics 2009-11-07 Samuli Hemming , Esko Keski-Vakkuri , Per Kraus

We have developed a systematic approach to calculate the correlation function for spin-1/2 particles, incorporating both central and noncentral components of the interparticle interaction. This is achieved by extending the variable phase…

Nuclear Theory · Physics 2026-05-13 Renjie Zou , Sheng Xiao , Zhi Qin , Zhigang Xiao

All conformal correlation functions of 3 scalar primary operators are constructed in an axiomatic way, relying only on conformal symmetry and causality. The construction makes use of the R-product and its analyticity properties in Minkowski…

High Energy Physics - Theory · Physics 2021-10-01 Marc Gillioz

We consider gauged WZW models based on a four dimensional non-semi-simple group. We obtain conformal $\s$-models in $D=3$ spacetime dimensions (with exact central charge $c=3$) by axially and vectorially gauging a one-dimensional subgroup.…

High Energy Physics - Theory · Physics 2009-10-22 Konstadinos Sfetsos

Here we revisit the quantum algorithms for obtaining Forrelation [Aaronson et al, 2015] values to evaluate some of the well-known cryptographically significant spectra of Boolean functions, namely the Walsh spectrum, the cross-correlation…

Quantum Physics · Physics 2025-05-20 Suman Dutta , Subhamoy Maitra , Chandra Sekhar Mukherjee

We use numerical bootstrap techniques to study correlation functions of scalars transforming in the adjoint representation of $SU(N)$ in three dimensions. We obtain upper bounds on operator dimensions for various representations and study…

High Energy Physics - Theory · Physics 2021-01-20 Andrea Manenti , Alessandro Vichi

We study two-point functions of single-trace half-BPS operators in the presence of a supersymmetric Wilson line in $\mathcal{N}=4$ SYM. We use inversion formula technology in order to reconstruct the CFT data starting from a single…

High Energy Physics - Theory · Physics 2022-09-30 Julien Barrat , Aleix Gimenez-Grau , Pedro Liendo

The n-point function for the integral over unitary matrices with Itzykson-Zuber measure is reduced to the integral over Gelfand-Tzetlin table; integrand (for generic n) is given by linear exponential times rational function. For $n=2$ and…

High Energy Physics - Theory · Physics 2009-10-22 Samson L. Shatashvili

Exact integral representations of spin one-point functions (ground state expectation values) are reported for the spin-1 analog of the XXZ model in the region $-1<q<0$. The method enables one to calculate arbitrary $n$-point functions in…

High Energy Physics - Theory · Physics 2008-02-03 Makoto Idzumi

We construct a class of 3-point constants in the $sl(4)$ Toda conformal theory $W_4$, extending the examples in Fateev and Litvinov. Their knowledge allows to determine the braiding/fusing matrix transforming 4-point conformal blocks of one…

High Energy Physics - Theory · Physics 2016-01-27 P. Furlan , V. B. Petkova

The inherent non-linearity of intensity correlation functions can be used to spatially distinguish identical emitters beyond the diffraction limit, as achieved, for example, in Super-Resolution Optical Fluctuation Imaging (SOFI). Here, we…

Optics · Physics 2024-12-18 Yifan Chen , Chieh Tsao , Hendrik Utzat
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