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The formalism developed in Refs.\cite{Guo:2023ecc,Guo:2024zal} that connects integrated correlation function of a trapped two-particle system to infinite volume scattering phase shift is further extended to coupled-channel systems in the…

High Energy Physics - Lattice · Physics 2025-02-25 Peng Guo , Frank X. Lee

The ability to measure characteristics of source shapes using non-identical particle correlations is discussed. Both strong-interaction induced and Coulomb induced correlations are shown to provide sensitivity to source shapes. By…

Nuclear Theory · Physics 2009-11-11 Scott Pratt

We study the renormalisation group flows between minimal W models by means of a new set of nonlinear integral equations which provide access to the effective central charge of both unitary and nonunitary models. We show that the scaling…

High Energy Physics - Theory · Physics 2009-11-07 Clare Dunning

We study the form factors of local operators of integrable QFT's between states with finite energy density. These states arise, for example, at finite temperature, or from a generalized Gibbs ensemble. We generalize Smirnov's form factor…

High Energy Physics - Theory · Physics 2019-01-23 Axel Cortés Cubero , Miłosz Panfil

Two point correlation functions of the off-critical primary fields \phi_{1, 1+s} are considered in the perturbed minimal models M_{2, 2N+3} + \phi_{1,3}. They are given as infinite series of form factor contributions. The form factors of…

High Energy Physics - Theory · Physics 2008-11-26 Takeshi Oota

Collective anisotropic flow, where particles are correlated over the entire event, is a prominent phenomenon in relativistic heavy-ion collisions and is sensitive to the properties of the matter created in those collisions. It is often…

Nuclear Experiment · Physics 2024-12-19 Yicheng Feng , Fuqiang Wang

We find the cross-over behavior for the spin-spin correlation function for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation approach of the perturbation series…

High Energy Physics - Theory · Physics 2016-09-06 Vladimir Dotsenko , Marco Picco , Pierre Pujol

The correlation function of the two dimensional Ising model with the nearest neighbours interaction on the finite size lattice with the periodical boundary conditions is derived. The expressions similar to the form factor expansion are…

High Energy Physics - Theory · Physics 2007-05-23 A. I. Bugrij

We study the constraints of crossing symmetry and unitarity for conformal field theories in the presence of a boundary, with a focus on the Ising model in various dimensions. We show that an analytic approach to the bootstrap is feasible…

High Energy Physics - Theory · Physics 2015-06-11 Pedro Liendo , Leonardo Rastelli , Balt C. van Rees

We study the N -> 0 limit of the O(N) Gross-Neveu model in the framework of the massless form-factor approach. This model is related to the continuum limit of the Ising model with random bonds via the replica method. We discuss how this…

High Energy Physics - Theory · Physics 2008-11-26 D. C. Cabra , A. Honecker , G. Mussardo , P. Pujol

We review the recent advances on exact results for dynamical correlation functions at large scales and related transport coefficients in interacting integrable models. We discuss Drude weights, conductivity and diffusion constants, as well…

Statistical Mechanics · Physics 2022-01-26 Jacopo De Nardis , Benjamin Doyon , Marko Medenjak , Miłosz Panfil

A recently proposed extension of the interaction flow method is applied to exemplary cases of selected physical and methodical parameters for the two-dimensional Hubbard model away from half-filling and perfect nesting. In this scheme, the…

Strongly Correlated Electrons · Physics 2022-02-15 Daniel Rohe

The recent proliferation of correlated percolation models---models where the addition of edges/vertices is no longer independent of other edges/vertices---has been motivated by the quest to find discontinuous percolation transitions. The…

Disordered Systems and Neural Networks · Physics 2015-06-05 L. Cao , J. M. Schwarz

We provide the reader with a (very) short review of recent advances in our understanding of the $\pi$-dependent terms in massless (Euclidean) 2-point functions as well as in generic anomalous dimensions and $\beta$-functions. We extend the…

High Energy Physics - Phenomenology · Physics 2018-08-02 P. A. Baikov , K. G. Chetyrkin

The model of p Ising spins coupled to 2d gravity, in the form of a sum over planar phi-cubed graphs, is studied and in particular the two-point and spin-spin correlation functions are considered. We first solve a toy model in which only a…

High Energy Physics - Theory · Physics 2009-10-30 M. G. Harris , J. Ambjorn

The directed flow of particles produced in ultrarelativistic heavy ion collisions at SPS and RHIC is so small that currently available methods of analysis are at the border of applicability. Standard two-particle and flow-vector methods are…

Nuclear Theory · Physics 2009-11-07 N. Borghini , P. M. Dinh , J. -Y. Ollitrault

The principal component analysis of flow correlations in heavy-ion collisions is studied. The correlation matrix of harmonic flow is generalized to correlations involving several different flow vectors. The method can be applied to study…

Nuclear Theory · Physics 2018-03-14 Piotr Bozek

We study the statistical Ising model of spins on the infinite lattice using a bootstrap method that combines spin-flip identities with positivity conditions, including reflection positivity and Griffiths inequalities, to derive rigorous…

High Energy Physics - Theory · Physics 2022-07-04 Minjae Cho , Barak Gabai , Ying-Hsuan Lin , Victor A. Rodriguez , Joshua Sandor , Xi Yin

Correlation functions of Logarithmic conformal field theory is investigated using the ADS/CFT correspondence and a novel method based on nilpotent weights and 'super fields'. Adding an specific form of interaction, we introduce a…

High Energy Physics - Theory · Physics 2009-11-10 S. Moghimi-Araghi , S. Rouhani , M. Saadat

We study the spin-spin correlation function in or near the T=0 ground state of the antiferromagnetic Ising model on a triangular lattice. At zero temperature its modulation on the sublattices gives rise to two Bragg peaks in the structure…

Statistical Mechanics · Physics 2008-02-03 Jesper Lykke Jacobsen , Hans C. Fogedby