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Based on the work of Guillarmou, Kupiainen, and Rhodes, we construct compactified imaginary Toda theory on closed Riemann surfaces, extending the rank-one construction to the higher-rank setting. This theory is expected to describe critical…

Mathematical Physics · Physics 2026-05-26 Yi-An Yao

We study observables in a conformal field theory which are very closely related to the ones used to describe hadronic events at colliders. We focus on the correlation functions of the energies deposited on calorimeters placed at a large…

High Energy Physics - Theory · Physics 2009-10-16 Diego M. Hofman , Juan Maldacena

Using the finite-size effects the scaling dimensions and correlation functions of the main operators in continuous and lattice models of 1d spinless Bose-gas with pairwise interaction of rather general form are obtained. The long-wave…

High Energy Physics - Theory · Physics 2015-06-26 A. Mironov , A. Zabrodin

We calculate normalization factors and reflection amplitudes in the W-invariant conformal quantum field theories. Using these CFT data we derive vacuum expectation values of exponential fields in affine Toda theories and related perturbed…

High Energy Physics - Theory · Physics 2007-05-23 V. A. Fateev

We compute exact solutions of two--matrix models, i.e. detailed genus by genus expressions for the correlation functions of these theories, calculated without any approximation. We distinguish between two types of models, the unconstrained…

High Energy Physics - Theory · Physics 2009-10-28 L. Bonora , C. P. Constantinidis , C. S. Xiong

A general technique of exact calculation of any correlation functions for the special class of one-dimensional spin models containing small clusters of quantum spins assembled to a chain by alternating with the single Ising spins is…

Statistical Mechanics · Physics 2013-11-05 Stefano Bellucci , Vadim Ohanyan

We study the two-point correlation function of density perturbations in a spherically symmetric void universe model which does not employ the Copernican principle. First we solve perturbation equations in the inhomogeneous universe model…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-25 Ryusuke Nishikawa , Chul-Moon Yoo , Ken-ichi Nakao

Spatial and momentum correlations are important in the analysis of the quantum states and different phases of trapped ultracold atom systems as a function of the strength of interatomic interactions. Identification and understanding of…

Quantum Gases · Physics 2017-12-08 Benedikt B. Brandt , Constantine Yannouleas , Uzi Landman

We study a quantum double model whose degrees of freedom are Ising anyons. The terms of the Hamiltonian of this system give rise to a competition between single and double topologies. By studying the energy spectra of the Hamiltonian at…

Statistical Mechanics · Physics 2015-05-13 Charlotte Gils

Classical Coulomb systems at equilibrium, bounded by a plane dielectric wall, are studied. A general two-point charge correlation function is considered. Valid for any fixed position of one of the points, a new relation is found between the…

Statistical Mechanics · Physics 2007-05-23 B. Jancovici , L. Šamaj

Within a holographic model, we calculate the time evolution of 2-point and 1-point correlation functions (of selected operators) within a charged strongly coupled system of many particles. That system is thermalizing from an anisotropic…

High Energy Physics - Theory · Physics 2019-10-02 Casey Cartwright , Matthias Kaminski

In $\mathcal{N}=1$ superconformal theories in four dimensions the two-point function of superconformal multiplets is known up to an overall constant. A superconformal multiplet contains several conformal primary operators, whose two-point…

High Energy Physics - Theory · Physics 2018-03-08 Daliang Li , Andreas Stergiou

The perturbed conformal field theories corresponding to the massive Symmetric Space sine-Gordon soliton theories are identified by calculating the central charge of the unperturbed conformal field theory and the conformal dimension of the…

High Energy Physics - Theory · Physics 2009-10-31 O. A. Castro Alvaredo , J. L. Miramontes

Two dimensional field theories invariant under the Bondi-Metzner-Sachs (BMS) group are conjectured to be dual to asymptotically flat spacetimes in three dimensions. In this paper, we continue our investigations of the modular properties of…

High Energy Physics - Theory · Physics 2020-11-19 Arjun Bagchi , Poulami Nandi , Amartya Saha , Zodinmawia

We study the Toda field theory with finite Lie algebras using an extension of the Goulian-Li technique. In this way, we show that, after integrating over the zero mode in the correlation functions of the exponential fields, the resulting…

High Energy Physics - Theory · Physics 2009-11-07 S. A. Apikyan , C. J. Efthimiou

We apply a functional perturbative approach to the calculation of the equal-time two-point correlation functions and the potential between static color charges to one-loop order in Coulomb gauge Yang-Mills theory. The functional approach…

High Energy Physics - Theory · Physics 2012-06-05 D. Campagnari , A. Weber , H. Reinhardt , F. Astorga , W. Schleifenbaum

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

Strongly Correlated Electrons · Physics 2008-11-26 Eduardo Fradkin , Joel E. Moore

We derive non-linear differential equations for correlation functions of U(1) twist fields in the two-dimensional massive Dirac theory. Primary U(1) twist fields correspond to exponential fields in the sine-Gordon model at the free-fermion…

High Energy Physics - Theory · Physics 2011-06-21 Benjamin Doyon , James Silk

We study the quantum theory of a simple general relativistic quantum model of two coupled harmonic oscillators and compute the two-point function following a proposal first introduced in the context of loop quantum gravity.

Quantum Physics · Physics 2007-06-05 Daniele Colosi

We address the problem of calculating the correlation functions of one-dimensional two-component gases with strong repulsive contact interactions. The model considered in this paper describes particles with fractional statistics and in…

Statistical Mechanics · Physics 2020-01-01 Ovidiu I. Patu