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A large class of quantum field theories on 1+1 dimensional Minkowski space, namely, certain integrable models, has recently been constructed rigorously by Lechner. However, the construction is very abstract and the concrete form of local…

数学物理 · 物理学 2013-04-30 Henning Bostelmann , Daniela Cadamuro

The symmetric space sine-Gordon models arise by conformal reduction of ordinary 2-dim $\sigma$-models, and they are integrable exhibiting a black-hole type metric in target space. We provide a Lagrangian formulation of these systems by…

高能物理 - 理论 · 物理学 2009-10-28 I. Bakas , Q-Han Park , H. J. Shin

In this thesis we review recent progresses on Nonlinear Integral Equation approach to finite size effects in two dimensional integrable quantum field theory with boundaries, with emphasis to sine-Gordon model with Dirichlet boundary…

高能物理 - 理论 · 物理学 2007-05-23 Marco Bellacosa

The sine-Gordon expansion method; which is a transformation of the sine-Gordon equation has been applied to the potential-YTSF equation of dimension (3+1) and the reaction-diffusion equation. We obtain new solitons of this equation in the…

数学物理 · 物理学 2021-01-15 Nizhum Rahman

We continue our study of the semi-classical (large central charge) expansion of the toroidal one-point conformal block in the context of the 2d/4d correspondence. We demonstrate that the Seiberg-Witten curve and (epsilon1-deformed)…

高能物理 - 理论 · 物理学 2015-06-19 Amir-Kian Kashani-Poor , Jan Troost

First steps are taken in a project to construct a general class of conformal and perhaps, eventually, non-conformal quantum field theories of (n-1)-dimensional extended objects in a d=2n dimensional conformal space-time manifold M. The…

高能物理 - 理论 · 物理学 2016-05-12 Daniel Friedan

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…

高能物理 - 理论 · 物理学 2008-11-26 B. Pozsgay , G. Takacs

Multicomplex numbers of order n have an associated trigonometry (multisine functions with (n-1) parameters) leading to a natural extension of the sine-Gordon model. The parameters are constrained from the requirement of local current…

高能物理 - 理论 · 物理学 2008-11-26 P. Baseilhac , S. Galice , P. Grangé , M. Rausch de Traubenberg

In the present paper we prove the integrability (in the sense of existence of formal symmetry of infinite rank) for a class of block-triangular inhomogeneous extensions of (1+1)-dimensional integrable evolution systems. An important…

可精确求解与可积系统 · 物理学 2007-05-23 A. Sergyeyev

We review some ideas from a recent construction which introduced the notion of vertex operators and form factors as vacuum expectation values of related vertex operators in the space of fields. The vertex operators are constructed…

高能物理 - 理论 · 物理学 2009-09-25 Costas Efthimiou

We consider the expectation value of a local operator on a strip with non-trivial boundaries in 1+1 dimensional massive integrable QFT. Using finite volume regularisation in the crossed channel and extending the boundary state formalism to…

高能物理 - 理论 · 物理学 2011-07-28 M. Kormos , B. Pozsgay

A general two dimensional fractional supersymmetric conformal field theory is investigated. The structure of the symmetries of the theory is studied. Then, applying the generators of the closed subalgebra generated by $(L_{-1}, L_{0},…

高能物理 - 理论 · 物理学 2009-10-31 Fardin Kheirandish , Mohammad Khorrami

We derive and prove exponential and form factor expansions of the row correlation function and the diagonal correlation function of the two dimensional Ising model.

数学物理 · 物理学 2015-06-26 I. Lyberg , B. M. McCoy

We study the quantum mechanics of a system of topologically interacting particles in 2+1 dimensions, which is described by coupling the particles to a Chern-Simons gauge field of an inhomogeneous group. Analysis of the phase space shows…

高能物理 - 理论 · 物理学 2009-10-31 F. A. Bais , N. M. Muller

We use a mix of field theoretic and holographic techniques to elucidate various properties of quantum entanglement entropy. In (3+1)-dimensional conformal field theory we study the divergent terms in the entropy when the entangling surface…

高能物理 - 理论 · 物理学 2012-07-13 Igor R. Klebanov , Tatsuma Nishioka , Silviu S. Pufu , Benjamin R. Safdi

The quantum sine-Gordon model is the simplest massive interacting integrable quantum field theory whose two-particle scattering matrix is generally non-diagonal. As such, it is a model that has been extensively studied, especially in the…

高能物理 - 理论 · 物理学 2021-06-09 Olalla A. Castro-Alvaredo , David X. Horvath

In this paper we give an exact infinite-series expression for the bi-partite entanglement entropy of the quantum Ising model both with a boundary magnetic field and in infinite volume. This generalizes and extends previous results involving…

高能物理 - 理论 · 物理学 2011-01-25 Olalla A. Castro-Alvaredo , Benjamin Doyon

We consider a two-dimensional Coulomb gas of positive and negative pointlike unit charges interacting via a logarithmic potential. The density (rather than the charge) correlation functions are studied. In the bulk, the form-factor theory…

统计力学 · 物理学 2007-05-23 L. Šamaj , B. Jancovici

We briefly review the general structure of integrable particle theories in 1+1 dimensions having N=1 supersymmetry. Examples are specific perturbed superconformal field theories (of Yang-Lee type) and the N=1 supersymmetric sine-Gordon…

高能物理 - 理论 · 物理学 2009-10-30 M. Moriconi , K. Schoutens

We consider quantum graphs with spin-orbit couplings at the vertices. Time-reversal invariance implies that the bond S-matrix is in the orthogonal or symplectic symmetry class, depending on spin quantum number s being integer or…

混沌动力学 · 物理学 2010-12-06 Jens Bolte , Jonathan Harrison