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The reflection amplitudes in non-affine Toda theories which possess extended conformal symmetry are calculated. Considering affine Toda theories as perturbed non-affine Toda theories and using reflection relations which relate different…

High Energy Physics - Theory · Physics 2007-05-23 P. Baseilhac

We show that the disc bulk one-point functions in a sl(n) Toda conformal field theory have a well-defined limit for the central charge c=n-1, and that their limiting values can be obtained from a limit of bulk one-point functions in the W_n…

High Energy Physics - Theory · Physics 2011-02-18 Stefan Fredenhagen

The massive phase of two-layer integrable systems is studied by means of RSOS restrictions of affine Toda theories. A general classification of all possible integrable perturbations of coupled minimal models is pursued by an analysis of the…

High Energy Physics - Theory · Physics 2009-10-30 A. LeClair , A. Ludwig , G. Mussardo

In this note, we study two-point correlation functions of modular Hamiltonians. We show that in general quantum systems, these correlators obey properties similar to those of von Neumann entropy and capacity of entanglement, both of which…

High Energy Physics - Theory · Physics 2025-06-13 Mathew W. Bub , Allic Sivaramakrishnan

Vacuum expectation values of local fields for all dual pairs of non-simply laced affine Toda field theories recently proposed are checked against perturbative analysis. The computations based on Feynman diagram expansion are performed upto…

High Energy Physics - Theory · Physics 2014-11-18 Changrim Ahn , P. Baseilhac , Chanju Kim , Chaiho Rim

We consider the finite-temperature frequency and momentum dependent two-point functions of local operators in integrable quantum field theories. We focus on the case where the zero temperature correlation function is dominated by a…

Strongly Correlated Electrons · Physics 2015-05-13 F. H. L. Essler , R. M. Konik

We consider the two-dimensional $\mathfrak{sl}_n$ quantum Toda field theory with an imaginary background charge. This conformal field theory has a higher spin symmetry ($W_n$ algebra), a central charge $c \leq n-1$ and a continuous…

Mathematical Physics · Physics 2019-02-20 Thomas Dupic , Benoît Estienne , Yacine Ikhlef

A class of two-dimensional field theories with exponential interactions is introduced. The interaction depends on two ``coupling'' matrices and is sufficiently general to include all Toda field theories existing in the literature. Lie point…

Exactly Solvable and Integrable Systems · Physics 2008-11-26 S. Lafortune , P. Winternitz , L. Martina

We calculate the two-point correlation function and magnetic susceptibility in the anisotropic 2D Ising model on a lattice with one infinite and the other finite dimension, along which periodic boundary conditions are imposed. Using exact…

Exactly Solvable and Integrable Systems · Physics 2011-11-10 A. I. Bugrij , O. Lisovyy

Two-dimensional sl(n) quantum Toda field theory on a sphere is considered. This theory provides an important example of conformal field theory with higher spin symmetry. We derive the three-point correlation functions of the exponential…

High Energy Physics - Theory · Physics 2009-06-19 V. A. Fateev , A. V. Litvinov

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

In two-dimensional lattice fermion model a determinant representation for the two-point correlation function of the twist field in the disorder phase is obtained. This field is defined by twisted boundary conditions for lattice fermion…

High Energy Physics - Theory · Physics 2007-05-23 Anatolij I. Bugrij , Vitalij N. Shadura

We investigate exactly solvable two-dimensional conformal field theories that exist at generic values of the central charge, and that interpolate between A-series or D-series minimal models. When the central charge becomes rational,…

High Energy Physics - Theory · Physics 2019-06-26 Sylvain Ribault

The parametric families of integrable boundary affine Toda theories are considered. We calculate boundary one-point functions and propose boundary S-matrices in these theories. We use boundary one-point functions and S-matrix amplitudes to…

High Energy Physics - Theory · Physics 2009-11-07 V. A. Fateev , E. Onofri

We consider a class of non-unitary Toda theories based on the Lie superalgebras $A^{(1)}(n,n)$ in two-dimensional Minkowski spacetime, which can be twisted into a topological sector. In particular we study the simplest example with $n=1$…

High Energy Physics - Theory · Physics 2009-10-28 S. Penati , D. Zanon

To check the consistency of positivity requirements for the two-point correlation function of the topological charge density, which were identified in a previous paper, we are computing perturbatively this two-point correlation function in…

High Energy Physics - Lattice · Physics 2009-11-11 Miguel Aguado , Erhard Seiler

Two-point correlation functions are ubiquitous tools of modern cosmology, appearing in disparate topics ranging from cosmological inflation to late-time astrophysics. When the background spacetime is maximally symmetric, invariance…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Oton H. Marcori , Thiago S. Pereira

The dissipative Hofstadter model describes the quantum mechanics of a charged particle in two dimensions subject to a periodic potential, uniform magnetic field, and dissipative force. Its phase diagram exhibits an SL(2,Z) duality symmetry…

High Energy Physics - Theory · Physics 2009-10-22 Denise E. Freed

Two-point correlation functions of spin operators in the minimal models ${{\cal M}}_{p,p'}$ perturbed by the field $\Phi_{13}$ are studied in the framework of conformal perturbation theory. The first-order corrections for the structure…

High Energy Physics - Theory · Physics 2015-06-26 A. A. Belavin , V. A. Belavin , A. V. Litvinov , Y. P. Pugai , Al. B. Zamolodchikov

We investigate the renormalization group flows and fixed point structure of many coupled minimal models. The models are coupled two by two by energy-energy couplings. We take the general approach where the bare couplings are all taken to be…

Statistical Mechanics · Physics 2011-07-19 M. -A. Lewis , P. Simon
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