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We present a unified approach to the Thermodynamic Bethe Ansatz (TBA) for magnetic chains and field theories that includes the finite size (and zero temperature) calculations for lattice BA models. In all cases, the free energy follows by…

High Energy Physics - Theory · Physics 2019-08-15 C. Destri , H. J. de Vega

Starting with a discussion of the general applicability of the simplified mirror TBA equations to simple deformations of the AdS_5 x S^5 superstring, we proceed to study a specific type of orbifold to which the undeformed simplified TBA…

High Energy Physics - Theory · Physics 2011-08-08 Marius de Leeuw , Stijn J. van Tongeren

We consider the $Y$-systems satisfied by the $A_1^{(1)}$, $A_2^{(1)}$, $A_2^{(2)}$ vertex and loop models at roots of unity with twisted boundary conditions on the cylinder. The vertex models are the 6-, 15- and Izergin-Korepin 19-vertex…

Mathematical Physics · Physics 2021-02-25 Alexi Morin-Duchesne , Andreas Klümper , Paul A. Pearce

We write down the simplified TBA equations of the $AdS_5 \times S^5$ string sigma-model for minimal energy twist-two operators in the sl(2) sector of the model. By using the linearized version of these TBA equations it is shown that the…

High Energy Physics - Theory · Physics 2010-12-01 Janos Balog , Arpad Hegedus

We consider the field theory describing the scaling limit of the Potts quantum spin chain using a combination of two approaches. The first is the renormalized truncated conformal space approach (TCSA), while the second one is a new…

High Energy Physics - Theory · Physics 2014-09-11 M. Lencses , G. Takacs

We investigate low-energy string excitations in AdS$_3\times$S$^3\times$T$^4$. When the worldsheet is decompactified, the theory has gapless modes whose spectrum at low energies is determined by massless relativistic integrable S matrices…

High Energy Physics - Theory · Physics 2018-12-27 Diego Bombardelli , Bogdan Stefański , Alessandro Torrielli

We propose discrete TBA equations for models with discrete spectrum. We illustrate our construction on the Calogero-Moser model and determine the discrete 2-body TBA function which yields the exact N-body Calogero-Moser thermodynamics. We…

Statistical Mechanics · Physics 2009-11-07 Michel Bergere , Ken-Ichiro Imura , Stephane Ouvry

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

In the non-supersymmetric gamma_i-deformed N=4 SYM theory, the scaling dimensions of the operators tr[Z^L] composed of L scalar fields Z receive finite-size wrapping and prewrapping corrections in the 't Hooft limit. In this paper, we…

High Energy Physics - Theory · Physics 2022-08-24 Jan Fokken , Christoph Sieg , Matthias Wilhelm

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…

High Energy Physics - Theory · Physics 2022-09-14 André LeClair

We use the lightcone $AdS_{3}\times S^{3}\times T^{4}$ superstring sigma model with fermions and bosons subject to twisted boundary conditions to find the ground state energy in the semi-classical approximation where effective string…

High Energy Physics - Theory · Physics 2023-05-29 Sergey Frolov , Anton Pribytok , Alessandro Sfondrini

We propose an exact summation method to compute thermodynamic observables in integrable quantum field theories. The key idea is to use the matrix-tree theorem to write the Gaudin determinants that appear in the cluster expansion as a sum…

High Energy Physics - Theory · Physics 2020-08-18 Dinh-Long Vu

The thermodynamic Bethe ansatz (TBA) and the excited state TBA equations for an integrable spin chain related to the Lie superalgebra osp(1|2) are proposed by the quantum transfer matrix (QTM) method. We introduce the fusion hierarchy of…

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

We apply the contour deformation trick to the Thermodynamic Bethe Ansatz equations for the AdS_5 \times S^5 mirror model, and obtain the integral equations determining the energy of two-particle excited states dual to N=4 SYM operators from…

High Energy Physics - Theory · Physics 2015-03-13 Gleb Arutyunov , Sergey Frolov , Ryo Suzuki

(abbreviated) This article considers recent advances in the investigation of the thermal and magnetic properties of integrable spin ladder models and their applicability to the physics of real compounds. The ground state properties of the…

Statistical Mechanics · Physics 2009-06-20 M. T. Batchelor , X. -W. Guan , N. Oelkers , Z. Tsuboi

We consider the non-unitary Lee-Yang minimal model ${\cal M}(2,5)$ in three different finite geometries: (i) on the interval with integrable boundary conditions labelled by the Kac labels $(r,s)=(1,1),(1,2)$, (ii) on the circle with…

High Energy Physics - Theory · Physics 2017-11-15 Zoltan Bajnok , Omar el Deeb , Paul A. Pearce

We evaluate the exact energy current and scaled cumulant generating function (related to the large-deviation function) in non-equilibrium steady states with energy flow, in any integrable model of relativistic quantum field theory (IQFT)…

High Energy Physics - Theory · Physics 2015-07-28 Olalla Castro-Alvaredo , Yixiong Chen , Benjamin Doyon , Marianne Hoogeveen

We study a series of $N\!=\!1$ supersymmetric integrable particle theories in $d=1+1$ dimensions. These theories are represented as integrable perturbations of specific $N\!=\!1$ superconformal field theories. Starting from the conjectured…

High Energy Physics - Theory · Physics 2009-10-28 M. Moriconi , K. Schoutens

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…

High Energy Physics - Theory · Physics 2015-06-05 Nikolay Gromov , Amit Sever

We develop a systematic strong coupling approach for studying an extended t-V model with interactions of a finite range. Our technique is not based on the Bethe ansatz and is applicable to both integrable and non-integrable models. We…

Strongly Correlated Electrons · Physics 2015-03-20 Marcin Szyniszewski , Evgeni Burovski
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