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The boundary supersymmetric sinh-Gordon model is an integrable quantum field theory in 1+1 dimensions with bulk N=1 supersymmetry, whose bulk and boundary S matrices are not diagonal. We present an exact solution of this model. In…

High Energy Physics - Theory · Physics 2009-10-31 Changrim Ahn , Rafael I. Nepomechie

Quadratic tachyon profile has been discussed in the boundary string field theory. We here compute the g-function by factorizing the cylinder amplitude. The answer is compared with the disc partition function. The boundary state is…

High Energy Physics - Theory · Physics 2007-05-23 A. Fujii , H. Itoyama

We calculate the correlation functions of strings of spin operators for integrable quantum circuits exactly. These observables can be used for calibration of quantum simulation platforms. We use algebraic Bethe Ansatz, in combination with…

Quantum Physics · Physics 2025-07-02 Arthur Hutsalyuk , Yunfeng Jiang , Balazs Pozsgay , Hefeng Xu , Yang Zhang

This paper is concerned with the study of properties of the exact solution of the fundamental integrable $G_2$ vertex model. The model $R$-matrix and respective spin chain are presented in terms of the basis generators of the $G_2$ Lie…

Mathematical Physics · Physics 2023-03-22 M. J. Martins

The quantum integrability is established for the one-dimensional supersymmetric $U$ model with boundary terms by means of the quantum inverse scattering method. The boundary supersymmetric $U$ chain is solved by using the coordinate space…

Strongly Correlated Electrons · Physics 2009-10-30 Yao-Zhong Zhang , Huan-Qiang Zhou

Finite temperature correlation functions in integrable quantum field theories are formulated only in terms of the usual, temperature-independent form factors, and certain thermodynamic filling fractions which are determined from the…

High Energy Physics - Theory · Physics 2009-10-31 A. Leclair , G. Mussardo

We present a new approach to the calculation of thermodynamic functions for crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ Heisemberg chain we derive, for arbitrary values of the anysotropy, a {\bf single}…

High Energy Physics - Theory · Physics 2008-02-03 C. Destri , H. J. de Vega

In this letter we calculate the exact partition function for free bosons on the plane with lacunae. First the partition function for a plane with two spherical holes is calculated by matching exactly for the infinite set of Wilson…

High Energy Physics - Theory · Physics 2015-06-03 Ira Z. Rothstein

We examine the connection between the nonlinear integral equation (NLIE) derived from light-cone lattice and sine-Gordon quantum field theory, considered as a perturbed c=1 conformal field theory. After clarifying some delicate points of…

High Energy Physics - Theory · Physics 2009-10-31 G. Feverati , F. Ravanini , G. Takacs

Most of the exact solutions of quantum one-dimensional Hamiltonians are obtained thanks to the success of the Bethe ansatz on its several formulations. According to this ansatz the amplitudes of the eigenfunctions of the Hamiltonian are…

Statistical Mechanics · Physics 2008-11-26 F. C. Alcaraz , M. J. Lazo

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…

High Energy Physics - Theory · Physics 2007-05-23 Marco Bellacosa

We study gluon scattering amplitudes/Wilson loops in N=4 super Yang-Mills theory at strong coupling by calculating the area of the minimal surfaces in AdS_3 based on the associated thermodynamic Bethe ansatz system. The remainder function…

High Energy Physics - Theory · Physics 2011-10-25 Yasuyuki Hatsuda , Katsushi Ito , Kazuhiro Sakai , Yuji Satoh

The light-cone approach is reviewed. This method allows to find the underlying quantum field theory for any integrable lattice model in its gapless regime. The relativistic spectrum and S-matrix follows straightforwardly in this way through…

High Energy Physics - Theory · Physics 2009-09-25 H. J. de Vega

We propose a novel quantum integrable model for every non-simply laced simple Lie algebra ${\mathfrak g}$, which we call the folded integrable model. Its spectra correspond to solutions of the Bethe Ansatz equations obtained by folding the…

Quantum Algebra · Mathematics 2024-10-30 Edward Frenkel , David Hernandez , Nicolai Reshetikhin

The bound state Bethe-Salpeter amplitude was expressed by Nakanishi using a two-dimensional integral representation, in terms of a smooth weight function $g$, which carries the detailed dynamical information. A similar, but one-dimensional,…

High Energy Physics - Phenomenology · Physics 2017-05-24 J. Carbonell , T. Frederico , V. A. Karmanov

Generalizing the quantum sine-Gordon and sausage models, we construct exact S-matrices for higher spin representations with quantum U_q(su(2)) symmetry, which satisfy unitarity, crossing-symmetry, and the Yang-Baxter equations with…

High Energy Physics - Theory · Physics 2024-05-17 Changrim Ahn , Tommaso Franzini , Francesco Ravanini

The Green's function~(GF) of two localized magnetic moments embedded in the electron gas is calculated exactly. The electrons are treated in the effective mass approximation and the magnetic moments are coupled with electrons by a…

Strongly Correlated Electrons · Physics 2020-05-05 Tomasz M. Rusin , Wlodek Zawadzki

We propose a procedure for computing the direct scattering transform of the periodic sine-Gordon equation. This procedure, previously used within the periodic Korteweg-de Vries equation framework, is implemented for the case of the…

Pattern Formation and Solitons · Physics 2023-12-08 Filip Novkoski , Eric Falcon , Chi-Tuong Pham

The Izergin-Korepin model with general non-diagonal boundary terms, a typical integrable model beyond A-type and without U(1)-symmetry, is studied via the off-diagonal Bethe ansatz method. Based on some intrinsic properties of the R-matrix…

Mathematical Physics · Physics 2015-06-19 Kun Hao , Junpeng Cao , Guang-Liang Li , Wen-Li Yang , Kangjie Shi , Yupeng Wang

Integrable quantum field models are known to exist mostly in one space-dimension. Exploiting the concept of multi-time in integrable systems and a Lax matrix of higher scaling order, we construct a novel quantum field model in quasi-two…

Exactly Solvable and Integrable Systems · Physics 2016-05-16 Anjan Kundu