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TBA integral equations are proposed for 1-particle states in the sausage- and SS-models and their $\sigma$-model limits. Combined with the ground state TBA equations the exact mass gap is computed in the O(3) and O(4) nonlinear…

高能物理 - 理论 · 物理学 2008-11-26 J. Balog , A. Hegedus

We propose a next-to-leading Luescher-like formula for the finite-size corrections of the excited states energies in integrable theories. We conjecture the expressions of the corrections for both the energy and the particles' rapidities by…

高能物理 - 理论 · 物理学 2015-06-17 Diego Bombardelli

Gravitational backgrounds in d+2 dimensions have been proposed as holographic duals to Lifshitz-like theories describing critical phenomena in d+1 dimensions with critical exponent z\geq 1. We numerically explore a dilaton-Einstein-Maxwell…

高能物理 - 理论 · 物理学 2015-03-17 Gaetano Bertoldi , Benjamin A. Burrington , Amanda W. Peet , Ida G. Zadeh

This note is a supplement to our previous papers: Mod. Phys. Lett. A14 (1999) 2427 (math-ph/9911010); Int. J. Mod. Phys. A15 (2000) 2329 (math-ph/9912014). The thermodynamic Bethe ansatz (TBA) equation for an integrable spin chain related…

统计力学 · 物理学 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi

We consider the massive tricritical Ising model M(4,5) perturbed by the thermal operator phi_{1,3} in a cylindrical geometry and apply integrable boundary conditions, labelled by the Kac labels (r,s), that are natural off-critical…

高能物理 - 理论 · 物理学 2009-10-31 Paul A. Pearce , Leung Chim , Changrim Ahn

Ultracold atoms provide clues to an important many-body problem regarding the dependence of Bose-Einstein condensation (BEC) transition temperature $T_c$ on interactions. However, cold atoms are trapped in harmonic potentials and…

量子气体 · 物理学 2016-03-30 Tom Kim , Chih-Chun Chien

Three-dimensional N = 4 supersymmetric quantum field theories admit two topological twists, the Rozansky-Witten twist and its mirror. Either twist can be used to define a supersymmetric compactification on a Riemann surface and a corre-…

高能物理 - 理论 · 物理学 2018-09-20 Davide Gaiotto

We, for the first time, report a first-principle proof of the equations of state used in the hydrodynamic theory for integrable systems, termed generalized hydrodynamics (GHD). The proof makes full use of the graph theoretic approach to…

统计力学 · 物理学 2019-02-20 Dinh-Long Vu , Takato Yoshimura

We investigate the low-temperature phase diagram of the exactly solved su(4) two-leg spin ladder as a function of the rung coupling $J_{\perp}$ and magnetic field $H$ by means of the thermodynamic Bethe Ansatz (TBA). In the absence of a…

统计力学 · 物理学 2009-11-10 M. T. Batchelor , X. -W. Guan , A. Foerster , H. -Q. Zhou

We study the entanglement structure and the topological edge states of the ground state of the spin-1/2 XXZ model with bond alternation. We employ parity-density matrix renormalization group with periodic boundary conditions. The…

量子物理 · 物理学 2016-05-25 Yu-Chin Tzeng , Li Dai , M. -C. Chung , Luigi Amico , Leong-Chuan Kwek

A relativistic formalism for relating the the energies of the states of three scalar particles in finite volume to infinite volume scattering amplitudes has recently been developed. This formalism has been used to predict the energy of the…

高能物理 - 格点 · 物理学 2018-10-23 Stephen R. Sharpe

Marginal beta deformations of N=4 super-Yang-Mills theory are known to correspond to a certain class of deformations of the S^5 background subspace of type IIB string theory in AdS_5 x S^5. An analogous set of deformations of the AdS_5…

高能物理 - 理论 · 物理学 2008-11-26 Ian Swanson

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 present a quantization condition for the spectrum of a system composed of three identical bosons in a finite volume with periodic boundary conditions. This condition gives a relation between the finite volume spectrum and infinite volume…

高能物理 - 格点 · 物理学 2013-05-29 Raul A. Briceno , Zohreh Davoudi

Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum error-correcting code. We offer an explicit proof that this…

We discuss the description of generic excited states in the quantum deformed AdS_5 x S^5 mirror thermodynamic Bethe ansatz and derive the associated Y-system. This Y-system shows an interesting new feature; it depends explicitly on the…

高能物理 - 理论 · 物理学 2015-06-11 Gleb Arutyunov , Marius de Leeuw , Stijn J. van Tongeren

We derive the TBA system of equations from the S-matrix describing integrable massive perturbation of the coset $G_l \times G_m / G_{l+m}$ by the field $(1,1,adj)$ for all the infinite series of the simple Lie algebras $G=A,B,C,D$. In the…

高能物理 - 理论 · 物理学 2009-11-10 A. Babichenko

The ground state energy of integrable asymptotically free theories can be conjecturally computed by using the Bethe ansatz, once the theory has been coupled to an external potential through a conserved charge. This leads to a precise…

高能物理 - 理论 · 物理学 2021-08-13 Marcos Marino , Ramon Miravitllas , Tomas Reis

We consider an open string stretched between a Y=0 brane and a Y_theta=0 brane. The latter brane is rotated with respect to the former by an angle theta, and is described by a non-diagonal boundary S-matrix. This system interpolates…

高能物理 - 理论 · 物理学 2016-03-23 Zoltan Bajnok , Rafael I. Nepomechie

The attractive two-site Bose-Hubbard model is studied within the framework of the analytical solution obtained by the application of Quantum Inverse Scattering Method. The structure of the ground and excited states is analyzed in terms of…

量子物理 · 物理学 2018-02-28 Igor Ermakov , Tim Byrnes , Nikolay Bogoliubov