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Related papers: Thermodynamical limit of general gl(N) spin chains…

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We consider the thermodynamical limit of a gl(N) spin chain with arbitrary representation at each site of the chain. We consider excitations (with holes and new strings) above the vacuum and compute their corrections in 1/L to the densities…

Statistical Mechanics · Physics 2011-02-16 N. Crampe , L. Frappat , E. Ragoucy

In this letter, we study the open spinning strings and their SYM duals. A new class of folded open spinning strings is found. At planar one-loop level in SYM, by solving the thermodynamic limit of the Bethe ansatz equations for an…

High Energy Physics - Theory · Physics 2009-11-10 Bin Chen , Xiao-Jun Wang , Yong-Shi Wu

We consider the problem of analytically continuing energies computed with the Bethe ansatz, as posed by the study of non-compact integrable spin chains. By introducing an imaginary extensive twist in the Bethe equations, we show that one…

Mathematical Physics · Physics 2020-08-25 Etienne Granet , Jesper Lykke Jacobsen , Hubert Saleur

This paper is devoted to integrable gl(n|m) spin chains which allow for formulation of the string hypothesis. Considering the thermodynamic limit of such spin chains, we derive linear functional equations that symmetricaly treat holes and…

High Energy Physics - Theory · Physics 2015-03-17 Dmytro Volin

Recently, an impressive agreement was found between anomalous dimensions of certain operators in N=4 SYM and rotating strings with two angular momenta in the bulk of AdS5xS5. A one-loop field theory computation, which involves solving a…

High Energy Physics - Theory · Physics 2014-11-18 Martin Kruczenski

We present a global treatment of the analytical Bethe ansatz for gl(N) spin chains admitting on each site an arbitrary representation. The method applies for closed and open spin chains, and also to the case of soliton non-preserving…

Mathematical Physics · Physics 2015-06-26 D. Arnaudon , N. Crampe , A. Doikou , L. Frappat , Eric Ragoucy

We consider the N-site U_{q}(gl(N)) integrable spin chain with periodic and open diagonal soliton-preserving boundary conditions. By employing analytical Bethe ansatz techniques we are able to determine the spectrum and the corresponding…

Mathematical Physics · Physics 2009-11-11 D. Arnaudon , N. Crampe , A. Doikou , L. Frappat , E. Ragoucy

In this paper we investigate complex solutions of the Bethe equations in the two-particle sector both for arbitrary finite number of sites and for the thermodynamic limit . We find the number of complex solutions (strings) and compare it…

High Energy Physics - Theory · Physics 2014-11-18 A. Ilakovac , M. Kolanovic , S. Pallua , P. Prester

We compute the finite size spectrum for the spin 1/2 XXZ chain with twisted boundary conditions, for anisotropy in the regime $0< \gamma <\pi/2$, and arbitrary twist $\theta$. The string hypothesis is employed for treating complex…

High Energy Physics - Theory · Physics 2008-11-26 T. Nassar , O. Tirkkonen

The thermodynamic Bethe ansatz is applied to a quantum integrable spin chain associated with the Lie superalgebra osp(1|2). Using the string hypothesis, we derive a set of infinite number of non-linear integral equations (thermodynamic…

Mathematical Physics · Physics 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi

We probe the long-range spin chain approach to planar N=4 gauge theory at high loop order. A recently employed hyperbolic spin chain invented by Inozemtsev is suitable for the SU(2) subsector of the state space up to three loops, but ceases…

High Energy Physics - Theory · Physics 2011-03-23 N. Beisert , V. Dippel , M. Staudacher

A Bethe Ansatz solution of the open spin-1/2 XXZ quantum spin chain with nondiagonal boundary terms has recently been proposed. Using a numerical procedure developed by McCoy et al., we find significant evidence that this solution can yield…

High Energy Physics - Theory · Physics 2008-11-26 Rafael I. Nepomechie , Francesco Ravanini

Using the Algebraic Bethe Ansatz we consider the correlation functions of the integrable higher spin chains. We apply a method recently developed for the spin $\frac 12$ Heisenberg chain, based on the solution of the quantum inverse…

Mathematical Physics · Physics 2014-11-18 N. Kitanine

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…

Mathematical Physics · Physics 2016-04-12 Rob Klabbers

We solve the equation of motion of boundary string field theory allowing generic boundary operators quadratic in $X$, and explore string theory non-perturbative vacua with massive state condensation. Using numerical analysis, a large number…

High Energy Physics - Theory · Physics 2016-06-21 Koji Hashimoto , Masaki Murata

We derive a class of solutions to the string sigma-model equations for the closed bosonic string. The tachyon field is taken to form a constant condensate and the beta-function equations at one-loop level are solved for the evolution of the…

High Energy Physics - Theory · Physics 2009-09-25 Alan Kostelecky , Malcolm Perry

In this paper we count the numbers of real and complex solutions to Bethe constraints in the two particle sector of the XXZ model. We find exact number of exceptions to the string conjecture and total number of solutions which is required…

High Energy Physics - Theory · Physics 2009-10-31 A. Ilakovac , M. Kolanovic , S. Pallua , P. Prester

We investigate the eigenstate thermalization hypothesis (ETH) in integrable models, focusing on the spin-1/2 isotropic Heisenberg (XXX) chain. We provide numerical evidence that ETH holds for typical eigenstates (weak ETH scenario).…

Strongly Correlated Electrons · Physics 2015-04-22 Vincenzo Alba

Well known Bethe strings in spin chains, delta-electron gas, Hubbard and t-J models are shown to be imprecise, while their consisten refinement along with a new non-Bethe r-string are discovered. Connection with the earlier results is…

Condensed Matter · Physics 2009-11-07 Anjan Kundu

We find that the density operator of non-equilibrium steady state (NESS) of XXZ spin chain with strong ``sink and source" boundary dissipation, can be described in terms of quasiparticles, with renormalized -- dissipatively dressed --…

Statistical Mechanics · Physics 2025-12-08 Vladislav Popkov , Xin Zhang , Carlo Presilla , Tomaz Prosen
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