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We study the scaling limits of the L-state Restricted Solid-on-Solid (RSOS) lattice models and their fusion hierarchies in the off-critical regimes. Starting with the elliptic functional equations of Klumper and Pearce, we derive the…

高能物理 - 理论 · 物理学 2009-10-30 Paul A. Pearce , Bernard Nienhuis

We study the Twisted Kitaev Quantum Double model within the framework of Local Topological Order (LTO). We extend its definition to arbitrary 2D lattices, enabling an explicit characterization of the ground state space through the invariant…

量子代数 · 数学 2025-02-26 Shawn X. Cui , César Galindo , Diego Romero

We study solutions of the Thermodynamic Bethe Ansatz equations for relativistic theories defined by the factorizable $S$-matrix of an integrable QFT deformed by CDD factors. Such $S$-matrices appear under generalized TTbar deformations of…

高能物理 - 理论 · 物理学 2021-11-30 Giancarlo Camilo , Thiago Fleury , Máté Lencsés , Stefano Negro , Alexander Zamolodchikov

We give further support to Smirnov's conjecture on the exact kink S-matrix for the massive Quantum Field Theory describing the integrable perturbation of the c=0.7 minimal Conformal Field theory (known to describe the tri-critical Ising…

高能物理 - 理论 · 物理学 2011-02-11 R. M. Ellem , V. V. Bazhanov

A perturbative calculation of the three-nucleon ground-state energy shift in a finite volume is carried out within the non-relativistic effective theory. The energy shift is evaluated up to and including $\mathcal{O}(L^{-6})$, where $L$ is…

高能物理 - 格点 · 物理学 2023-08-09 Rishabh Bubna , Fabian Müller , Akaki Rusetsky

We suggest an approach to the problem of finding integral equations for the excited states of an integrable model, starting from the Thermodynamic Bethe Ansatz equations for its ground state. The idea relies on analytic continuation through…

高能物理 - 理论 · 物理学 2011-05-05 Patrick Dorey , Roberto Tateo

We present a general method for deriving the energy shift of an interacting system of $N$ spinless particles in a finite volume. To this end, we use the nonrelativistic effective field theory (NREFT), and match the pertinent low-energy…

高能物理 - 格点 · 物理学 2021-03-02 Fernando Romero-López , Akaki Rusetsky , Nikolas Schlage , Carsten Urbach

We propose an alternative, statistical, derivation of the Thermodynamic Bethe Ansatz based on the tree expansion of the Gaudin determinant. We illustrate the method on the simplest example of a theory with diagonal scattering and no bound…

高能物理 - 理论 · 物理学 2018-09-18 Ivan Kostov , Didina Serban , Dinh-Long Vu

We propose TBA integral equations for 1-particle states in the O(n) non-linear sigma-model for even n. The equations are conjectured on the basis of the analytic properties of the large volume asymptotics of the problem, which is explicitly…

高能物理 - 理论 · 物理学 2009-11-11 J. Balog , A. Hegedus

We study the spectrum of the scaling Lee-Yang model on a finite interval from two points of view: via a generalisation of the truncated conformal space approach to systems with boundaries, and via the boundary thermodynamic Bethe ansatz.…

高能物理 - 理论 · 物理学 2009-10-30 Patrick Dorey , Andrew Pocklington , Roberto Tateo , Gerard Watts

We analyze the vacuum expectation values of conserved charges in two dimensional integrable theories. We study the situations when the ground-state can be described by a single integral equation with a finite support: the thermodynamic…

高能物理 - 理论 · 物理学 2025-02-28 Zoltán Bajnok , János Balog , István Vona

In this paper we compute the scaling functions of the effective central charges for various quantum integrable models in a deep ultraviolet region $R\to 0$ using two independent methods. One is based on the ``reflection amplitudes'' of the…

高能物理 - 理论 · 物理学 2009-10-31 Changrim Ahn , Chanju Kim , Chaiho Rim

We consider the integrable one-dimensional delta-function interacting Bose gas in a hard wall box which is exactly solved via the coordinate Bethe Ansatz. The ground state energy, including the surface energy, is derived from the…

统计力学 · 物理学 2007-05-23 M. T. Batchelor , X. W. Guan , N. Oelkers , C. Lee

We investigate the quantum phase diagram of the exactly solved mixed spin-(1/2,1) ladder via the thermodynamic Bethe ansatz (TBA). In the absence of a magnetic field the model exhibits three quantum phases associated with su(2), su(4) and…

统计力学 · 物理学 2009-11-10 M. T. Batchelor , X. -W. Guan , N. Oelkers , Z. -J. Ying

In integrable field theories in two dimensions, the Bethe ansatz can be used to compute exactly the ground state energy in the presence of an external field coupled to a conserved charge. We generalize previous results by Volin and we…

高能物理 - 理论 · 物理学 2021-04-23 Marcos Marino , Tomas Reis

We derive traditional thermodynamic Bethe ansatz (TBA) equations for the sl(r+1) Uimin-Sutherland model from the T-system of the quantum transfer matrix. These TBA equations are identical to the ones from the string hypothesis. Next we…

统计力学 · 物理学 2008-11-26 Zengo Tsuboi

We examine some excited state energies in the non-unitary integrable quantum field theory obtained from the perturbation of the minimal conformal field theory model $M_{3,5}$ by its operator $\phi_{2,1}$. Using the correspondence of this…

高能物理 - 理论 · 物理学 2011-02-11 R. M. Ellem , V. V. Bazhanov

We consider the critical non-unitary minimal model {\cal M}(3,5) with integrable boundaries. We analyze the patterns of zeros of the eigenvalues of the transfer matrix and then determine the spectrum of the critical theory through the…

高能物理 - 理论 · 物理学 2018-03-13 Omar El Deeb

The isotropic scattering phase shift is calculated for non-relativistic bosons interacting at low energies via an arbitrary finite-range potential in d spacetime dimensions. Scattering on a (d-1)-dimensional torus is then considered, and…

量子气体 · 物理学 2011-04-14 Silas R. Beane

We study entanglement entropy of boundary states in a free bosonic conformal field theory. A boundary state can be thought of as composed of a particular combination of left and right-moving modes of the two-dimensional conformal field…

高能物理 - 理论 · 物理学 2015-06-22 Leopoldo A. Pando Zayas , Norma Quiroz