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This work concerns the dynamical two-point spin correlation functions of the transverse Ising quantum chain at finite (non-zero) temperature, in the universal region near the quantum critical point. They are correlation functions of twist…

Mathematical Physics · Physics 2009-11-13 Benjamin Doyon , Adam Gamsa

We study the high-temperature phase of compact U(1) gauge theory in 2+1 dimensions, comparing the results of lattice calculations with analytical predictions from the conformal-field-theory description of the low-temperature phase of the…

Strongly Correlated Electrons · Physics 2019-05-15 Michele Caselle , Alessandro Nada , Marco Panero , Davide Vadacchino

Complete information on the equilibrium behaviour and dynamics of a quantum field theory (QFT) is provided by multipoint correlation functions. However, their theoretical calculation is a challenging problem, even for exactly solvable…

Statistical Mechanics · Physics 2018-09-19 Ivan Kukuljan , Spyros Sotiriadis , Gabor Takacs

We study the entanglement entropy and the mutual information in coupled harmonic systems at finite temperature. Interestingly, we find that the mutual information does not vanish at infinite temperature, but it rather reaches a specific…

High Energy Physics - Theory · Physics 2020-04-20 Dimitrios Katsinis , Georgios Pastras

Continuing the investigation started in a previous work, we consider form factors of integrable quantum field theories in finite volume, extending our investigation to matrix elements with disconnected pieces. Numerical verification of our…

High Energy Physics - Theory · Physics 2008-11-26 B. Pozsgay , G. Takacs

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

We consider $3$-dimensional conformal field theories with $U(N)_{\kappa}$ Chern Simons gauge fields coupled to bosonic and fermionic matter fields transforming in the fundamental representation of the gauge group. In these CFTs, we compute…

High Energy Physics - Theory · Physics 2022-08-05 Sudip Ghosh , Subhajit Mazumdar

We consider the logarithmic negativity of a finite interval embedded in an infinite one dimensional system at finite temperature. We focus on conformal invariant systems and we show that the naive approach based on the calculation of a…

Statistical Mechanics · Physics 2014-12-17 Pasquale Calabrese , John Cardy , Erik Tonni

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

In this paper we analyze the expectation value of the field squared and the energy-momentum tensor associated with a massive charged scalar quantum field with a nonzero chemical potential propagating in a high-dimensional compactified…

High Energy Physics - Theory · Physics 2023-02-21 W. Oliveira dos Santos , E. R. Bezerra de Mello

We study 2+1 dimensional conformal field theories (CFTs) with a globally conserved U(1) charge, placed in a chemical potential which is periodically modulated along the spatial direction $x$ with zero average: $\mu(x) = V \cos(kx)$. The…

High Energy Physics - Theory · Physics 2014-01-29 Paul Chesler , Andrew Lucas , Subir Sachdev

We consider two dimensional conformal field theory (CFT) with large central charge c in an excited state obtained by the insertion of an operator \Phi with large dimension \Delta_\Phi ~ O(c) at spatial infinities in the thermal state. We…

High Energy Physics - Theory · Physics 2020-01-08 Justin R. David , Timothy J. Hollowood , Surbhi Khetrapal , S. Prem Kumar

We compute the exact retarded Green's functions in thermal $CFT$s with chemical potential and angular momenta using holography respectively. We consider the field equations satisfied by the quasi-normal modes in both charged and rotating…

High Energy Physics - Theory · Physics 2023-02-27 Atanu Bhatta , Taniya Mandal

A density functional theory (DFT) framework is presented that links functional derivatives of free-energy functionals to non-linear static density response functions in quantum many-body systems. Within this framework, explicit expressions…

We formulate two-dimensional rational conformal field theory as a natural generalization of two-dimensional lattice topological field theory. To this end we lift various structures from complex vector spaces to modular tensor categories.…

High Energy Physics - Theory · Physics 2009-11-07 J. Fuchs , I. Runkel , C. Schweigert

Unitary conformal field theories (CFTs) are believed to have positive (non-negative) energy correlators. Energy correlators are universal observables in higher-dimensional CFTs built out of integrated Wightman functions of the stress-energy…

High Energy Physics - Theory · Physics 2015-06-15 Alexander Zhiboedov

We write down the global Hamiltonian of conformal field theory (CFT) in finite volume in terms of the modular Hamiltonian of the vacuum reduced to a local ball-shaped region, and use it to propose local approximations to the global…

High Energy Physics - Theory · Physics 2026-02-27 Yidong Chen , Nima Lashkari , Kwing Lam Leung

We consider holographic duals of $2$-dimensional conformal field theories in the presence of a boundary, interface, defect and/or junction, referred to collectively as BCFTs. In general, the presence of a boundary reduces the $SO(2,2)$…

High Energy Physics - Theory · Physics 2015-06-18 John Estes

For a class of tight-binding many-electron models on hyper-cubic lattices the equal-time correlation functions at non-zero temperature are proved to decay exponentially in the distance between the center of positions of the electrons and…

Mathematical Physics · Physics 2015-05-18 Yohei Kashima

We revisit certain aspects of thermalization in 2D CFT. In particular, we consider similarities and differences between the time dependence of correlation functions in various states in rational and non-rational CFTs. We also consider the…

High Energy Physics - Theory · Physics 2017-01-04 Jan de Boer , Dalit Engelhardt