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A simple picture for the spectrum of the one-dimensional Hubbard model is presented using a classification of the eigenstates based on an intuitive bound-state Bethe-Ansatz approach. This approach allows us to prove a "string hypothesis"…

强关联电子 · 物理学 2009-10-31 D. Braak , N. Andrei

We study the thermodynamic behaviour of Inozemtsev's long-range elliptic spin chain using the Bethe ansatz equations describing the spectrum of the model in the infinite-length limit. We classify all solutions of these equations in that…

数学物理 · 物理学 2016-04-12 Rob Klabbers

We construct an effective Quantum Field Theory for the wrapping effects in 1+1 dimensional models of factorised scattering. The recently developed graph-theoretical approach to TBA gives the perturbative desctiption of this QFT. For the…

高能物理 - 理论 · 物理学 2022-05-06 Ivan Kostov

We make an attempt to map the integrable boundary conditions for 2 dimensional non-linear O(N) $\sigma$-models. We do it at various levels: classically, by demanding the existence of infinitely many conserved local charges and also by…

高能物理 - 理论 · 物理学 2017-09-13 Ines Aniceto , Zoltan Bajnok , Tamas Gombor , Minkyoo Kim , Laszlo Palla

The restricted SOS model of Andrews, Baxter and Forrester has been studied. The finite size corrections to the eigenvalue spectra of the transfer matrix of the model with a more general crossing parameter have been calculated. Therefore the…

高能物理 - 理论 · 物理学 2009-10-28 Yu-kui Zhou

We consider the Forrester-Baxter RSOS lattice models with crossing parameter $\lambda=(m'\!-\!m)\pi/m'$ in Regime~III. In the continuum scaling limit, these models are described by the minimal models ${\cal M}(m,m')$. We conjecture that,…

高能物理 - 理论 · 物理学 2017-04-04 Elena Tartaglia , Paul A. Pearce

In this note, we discuss the low and high temperature contribution of Thermodynamic Bethe Ansatz (TBA) dressed excitations in the thermodynamics and energy-magnetization relaxation within the Generalized Hydrodynamics approach in the linear…

统计力学 · 物理学 2020-01-06 A. Pavlis , X. Zotos

We apply the algebraic Bethe ansatz developed in our previous paper \cite{CM} to three different families of U(1) integrable vertex models with arbitrary $N$ bond states. These statistical mechanics systems are based on the higher spin…

数学物理 · 物理学 2009-08-03 M. J. Martins , C. S. Melo

We investigate a phase transition of the O(N) invariant scalar model using the auxiliary mass method. We determine the critical exponent $\beta$ by calculating an effective potential below the critical temperature. This work follows that of…

高能物理 - 唯象学 · 物理学 2009-10-31 K. Ogure , J. Sato

We study the Thermodynamic Bethe Ansatz (TBA) equations for pure $T\bar{T}$ perturbations of some simple integrable quantum field theories with a single bosonic or fermionic particle, in particular the massive sinh-Gordon model and its…

高能物理 - 理论 · 物理学 2022-09-14 André LeClair

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}…

高能物理 - 理论 · 物理学 2008-02-03 C. Destri , H. J. de Vega

The Nested Bethe Ansatz is generalized to open boundary conditions. This is used to find the exact eigenvectors and eigenvalues of the $A_{n-1}$ vertex model with fixed open boundary conditions and the corresponding $SU_{q}(n)$ invariant…

高能物理 - 理论 · 物理学 2009-10-22 H. J. de Vega , A. González--Ruiz

We consider the quark--anti-quark potential on the three sphere or the generalized cusp anomalous dimension in planar N=4 SYM. We concentrate on the vacuum potential in the near BPS limit with $L$ units of R-charge. Equivalently, we study…

高能物理 - 理论 · 物理学 2015-06-05 Nikolay Gromov , Amit Sever

We analyze the thermodynamics and the critical behavior of the supersymmetric su($m$) $t$-$J$ model with long-range interactions. Using the transfer matrix formalism, we obtain a closed-form expression for the free energy per site both for…

强关联电子 · 物理学 2020-09-03 B. Basu-Mallick , N. Bondyopadhaya , J. A. Carrasco , F. Finkel , A. Gonzalez-Lopez

The thermodynamic limits of the XYZ spin chain with periodic or twisted boundary conditions are studied. By using the technique of characterizing the eigenvalue of the transfer matrix by the $T-Q$ relation and by the zeros of the associated…

数学物理 · 物理学 2025-02-19 Zhirong Xin , Junpeng Cao , Wen-Li Yang , Yupeng Wang

We compute the tree-level bosonic S matrix in light-cone gauge for superstrings on pure-NSNS $\text{AdS}_{3}\times\text{S}^3\times\text{S}^3\times\text{S}^1$. We show that it is proportional to the identity and that it takes the same form…

高能物理 - 理论 · 物理学 2019-03-27 Andrea Dei , Alessandro Sfondrini

We have diagonalized the transfer matrix of the $U_{q}[osp(2|2m)]$ vertex model by means of the algebraic Bethe ansatz method for a variety of grading possibilities. This allowed us to investigate the thermodynamic limit as well as the…

高能物理 - 理论 · 物理学 2008-11-26 W. Galleas , M. J. Martins

Some years ago, Fendley found an explicit solution to Thermodynamic Bethe Ansatz (TBA) equation for a N=2 supersymmetric theory in 2D with a specific F-term. Motivated by this, we seek for explicit solutions for other super-potential cases…

数学物理 · 物理学 2015-05-20 Junji Suzuki

It is shown that the Bethe ansatz formulation of the easy-plane 1D Heisenberg model thermodynamics (TBA) by Takahashi and Suzuki and the subsequent analysis of the spin Drude weight, also reproduces the thermal Drude weight and…

统计力学 · 物理学 2017-10-25 X. Zotos

We consider the integrable open-chain transfer matrix corresponding to a Y=0 brane at one boundary, and a Y_theta=0 brane (rotated with the respect to the former by an angle theta) at the other boundary. We determine the exact eigenvalues…

高能物理 - 理论 · 物理学 2015-09-23 Xin Zhang , Junpeng Cao , Shuai Cui , Rafael I. Nepomechie , Wen-Li Yang , Kangjie Shi , Yupeng Wang