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We report some recent progress in the computation of the n-point correlation functions of conserved currents in a class of four dimensional conformal field theories with higher spin symmetry. Global conformal invariance leads to very strong…

High Energy Physics - Theory · Physics 2013-12-12 Yassen S. Stanev

We derive the conformal Ward identities for the correlation functions of the Stress--Energy tensor in probabilistic Liouville Conformal Field Theory on compact Riemann surfaces by varying the correlation functions with respect to the…

Mathematical Physics · Physics 2022-07-29 Joona Oikarinen

We consider a free (2 k)-form gauge-field on a Euclidean (4 k + 2)-manifold. The parameters needed to specify the action and the gauge-invariant observables take their values in spaces with natural complex structures. We show that the…

High Energy Physics - Theory · Physics 2010-02-03 Mans Henningson , Bengt E. W. Nilsson , Per Salomonson

Using the theory of generalized hydrodynamics (GHD), we derive exact Euler-scale dynamical two-point correlation functions of conserved densities and currents in inhomogeneous, non-stationary states of many-body integrable systems with weak…

Mathematical Physics · Physics 2018-11-28 Benjamin Doyon

Using the "Liouville space'' (the space of operators) of the massive Ising model of quantum field theory, there is a natural definition of form factors in any mixed state. These generalize the usual form factors, and are building blocks for…

Strongly Correlated Electrons · Physics 2015-07-28 Yixiong Chen , Benjamin Doyon

We study the spin-spin, spin-energy and energy-energy correlators in the 2d Ising model perturbed by a magnetic field. We compare the results of a set of high precision Montecarlo simulations with the predictions of two different…

High Energy Physics - Theory · Physics 2009-10-31 M. Caselle , P. Grinza , N. Magnoli

We present efficient algorithms for computing the $N$-point correlation functions (NPCFs) of random fields in arbitrary $D$-dimensional homogeneous and isotropic spaces. Such statistics appear throughout the physical sciences, and provide a…

Instrumentation and Methods for Astrophysics · Physics 2022-09-14 Oliver H. E. Philcox , Zachary Slepian

We use conformal symmetry to constrain the shape of inflationary correlators in the presence of long-lived vector field perturbations. Applying conformal Ward identities, we derive general expressions, up to amplitudes and normalization…

General Relativity and Quantum Cosmology · Physics 2019-09-24 Juan P. Beltrán Almeida , Josué Motoa-Manzano , César A. Valenzuela-Toledo

We investigate the gravitational form factors of a strongly coupled scalar theory that mimic the interaction between the nucleon and the pion. The non-perturbative calculation is based on the light-front Hamiltonian formalism. We…

High Energy Physics - Phenomenology · Physics 2023-10-03 Xianghui Cao , Yang Li , James P. Vary

This is the second part of the paper 0709.3806v2. Here we show that three-point correlation function with one semi-degenerate field in Toda field theory as well as four-point correlation function with one completely degenerate and one…

High Energy Physics - Theory · Physics 2009-02-12 V. A. Fateev , A. V. Litvinov

We propose an approach to the problem of low but finite temperature dynamical correlation functions in integrable one-dimensional models with a spectral gap. The approach is based on the analysis of the leading singularities of the operator…

Statistical Mechanics · Physics 2009-11-11 B. L. Altshuler , R. M. Konik , A. M. Tsvelik

We consider near-critical two-dimensional statistical systems with boundary conditions inducing phase separation on the strip. By exploiting low-energy properties of two-dimensional field theories, we compute arbitrary $n$-point correlation…

High Energy Physics - Theory · Physics 2021-12-01 Alessio Squarcini

The sinh-Gordon model with integrable boundary conditions is considered in low order perturbation theory. It is pointed out that results obtained by Ghoshal for the sine-Gordon breather reflection factors suggest an interesting dual…

High Energy Physics - Theory · Physics 2009-10-30 E Corrigan

The purpose of the "bootstrap program" is to construct integrable quantum field theories in 1+1 dimensions in terms of their Wightman functions explicitly. As an input the integrability and general assumptions of local quantum field…

High Energy Physics - Theory · Physics 2016-11-23 H. Babujian , M. Karowski

We consider the form factor bootstrap approach of integrable field theories to derive matrix elements of composite branch-point twist fields associated with symmetry resolved entanglement entropies. The bootstrap equations are determined in…

High Energy Physics - Theory · Physics 2021-09-30 Dávid X. Horváth , Pasquale Calabrese

We present a method to analytically compute the quantum corrected two-point correlation function of a scalar field in leading order at each loop in a homogeneous, isotropic and spatially flat spacetime where the expansion rate is time…

General Relativity and Quantum Cosmology · Physics 2019-12-18 G. Karakaya , V. K. Onemli

We investigate varies correlation functions of modular Hamiltonians defined with respect to spatial regions in quantum field theories. These correlation functions are divergent in general. We extract finite correlators by removing divergent…

High Energy Physics - Theory · Physics 2020-01-08 Jiang Long

We compute the form factors of exponential operators $e^{kg\varphi(x)}$ in the two-dimensional integrable Bullough-Dodd model ($a_2^{(2)}$ Affine Toda Field Theory). These form factors are selected among the solutions of general…

High Energy Physics - Theory · Physics 2009-10-30 C. Acerbi

We continue the study of form factors of descendant operators in the sinh- and sine-Gordon models in the framework of the algebraic construction proposed in [arXiv:0812.4776]. We find the algebraic construction to be related to a particular…

Mathematical Physics · Physics 2014-07-30 Michael Lashkevich , Yaroslav Pugai

Correlation functions of the composite field $T\bar{T}$ in the scaling Lee--Yang model are studied. Using the analytic expression for form factors of this operator recently proposed by Delfino and Niccoli \cite{DN}, we show numerically that…

High Energy Physics - Theory · Physics 2009-11-11 V. A. Belavin , O. V. Miroshnichenko
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