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Related papers: Massless Flows II: the exact S-matrix approach

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We study in this paper the ground state energy of a free bosonic theory on a finite interval of length $R$ with either a pair of sine-Gordon type or a pair of Kondo type interactions at each boundary. This problem has potential applications…

Statistical Mechanics · Physics 2015-06-24 J. -S. Caux , H. Saleur , F. Siano

In three spatial dimensions, in the unitary limit of a non-relativistic quantum Bose or Fermi gas, the scattering length diverges. This occurs at a renormalization group fixed point, thus these systems present interesting examples of…

Quantum Gases · Physics 2011-02-16 Pye-Ton How , Andre LeClair

We conjecture an exact S-matrix for the scattering of solitons in $d_{n+1}^{(2)}$ affine Toda field theory in terms of the R-matrix of the quantum group $U_q(c_n^{(1)})$. From this we construct the scattering amplitudes for all scalar bound…

High Energy Physics - Theory · Physics 2009-10-28 G. M. Gandenberger , N. J. MacKay

We construct a nonlinear $\sigma$ model to describe a system of non-interacting electrons propagating in the presence of random magnetic flux. We find a term describing the long ranged logarithmic interaction between the topological density…

Condensed Matter · Physics 2009-10-22 Shoucheng Zhang , Daniel Arovas

We address the scattering problem in two-dimensional integrable models, focusing on the sine-Gordon theory. We use the S-matrix bootstrap approach based on analytical properties of the S-matrix to compute scattering amplitudes of the…

High Energy Physics - Theory · Physics 2023-11-29 Valeriia Stolbova

An account is given of a technique for testing the equivalence between an exact factorizable S-matrix and an asymptotically-free Lagrangian field theory in two space-time dimensions. The method provides a way of resolving CDD ambiguities in…

High Energy Physics - Theory · Physics 2007-05-23 Jonathan M. Evans , Timothy J. Hollowood

We introduce an extension of the generalised $T\bar{T}$-deformation described by Smirnov-Zamolodchikov, to include the complete set of extensive charges. We show that this gives deformations of S-matrices beyond CDD factors, generating…

High Energy Physics - Theory · Physics 2022-09-28 Benjamin Doyon , Joseph Durnin , Takato Yoshimura

Starting from the integrable two-loop spin-chain Hamiltonian describing the anomalous dimensions of scalar operators in the planar N=6 superconformal Chern-Simons theory of ABJM, we perform a direct coordinate Bethe ansatz computation of…

High Energy Physics - Theory · Physics 2009-05-27 Changrim Ahn , Rafael I. Nepomechie

We study dynamics of two-dimensional non-abelian gauge theories with N=(0,2) supersymmetry that include N=(0,2) supersymmetric QCD and its generalizations. In particular, we present the phase diagram of N=(0,2) SQCD and determine its…

High Energy Physics - Theory · Physics 2014-04-23 Abhijit Gadde , Sergei Gukov , Pavel Putrov

We introduce and study a class of two-dimensional integrable quantum field theories that carry an internal $\mathbb{Z}_n$ structure. These models extend factorised scattering beyond the conventional framework, featuring both the usual…

High Energy Physics - Theory · Physics 2025-11-25 Nicolò Brizio , Tommaso Morone , Nicolò Primi , Roberto Tateo

We investigate the S-matrix of N=2 supersymmetric sine-Gordon theory based on the N=2 supersymmetry and the quantum group structure. The topological charges play an important role to derive physical contents.

High Energy Physics - Theory · Physics 2009-10-22 Ken-ichiro Kobayashi , Tsuneo Uematsu

By viewing the Sine-Gordon and massive Thirring models as perturbed conformal field theories one sees that they are different (the difference being observable, for instance, in finite-volume energy levels). The UV limit of the former (SGM)…

High Energy Physics - Theory · Physics 2009-10-22 Timothy R. Klassen , Ezer Melzer

We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 1 + 1 dimensions due to crossing symmetry and unitarity. In this way we establish rigorous bounds on the cubic couplings of a given theory with…

High Energy Physics - Theory · Physics 2018-01-17 Miguel F. Paulos , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

We study the Mott transition in a two-dimensional lattice spinless fermion model with nearest neighbors density-density interactions. By means of a two-dimensional Jordan-Wigner transformation, the model is mapped onto the lattice XXZ spin…

Strongly Correlated Electrons · Physics 2011-06-16 Federico L. Bottesi , Guillermo R. Zemba

We calculate the $\mathcal{S}$-multiplets for two-dimensional Euclidean $\mathcal{N}=(0,2)$ and $\mathcal{N} = (2,2)$ superconformal field theories under the $T\overline{T}$ deformation at leading order of perturbation theory in the…

High Energy Physics - Theory · Physics 2022-11-23 Stephen Ebert , Hao-Yu Sun , Zhengdi Sun

We develop crossing symmetric dispersion relations for describing 2-2 scattering of identical external particles carrying spin. This enables us to import techniques from Geometric Function Theory and study two sided bounds on low energy…

High Energy Physics - Theory · Physics 2022-09-07 Subham Dutta Chowdhury , Kausik Ghosh , Parthiv Haldar , Prashanth Raman , Aninda Sinha

Expanding Nambu-Goto action near infinitely long string vacuum one can compute scattering amplitudes of 2d massless fields representing transverse string coordinates. As was shown in arXiv:1203.1054, the resulting S-matrix is integrable, in…

High Energy Physics - Theory · Physics 2025-04-23 Fiona K. Seibold , Arkady A. Tseytlin

An XXZ spin chain at zero magnetization is subject to spatially correlated baths acting as dissipation. We show that the low-energy excitations of this model are described by a dissipative sine-Gordon field theory, i.e. a sine-Gordon action…

Statistical Mechanics · Physics 2024-11-13 Oscar Bouverot-Dupuis

Massless flows between the coset model su(2)_{k+1} \otimes su(2)_k /su(2)_{2k+1} and the minimal model M_{k+2} are studied from the viewpoint of form factors. These flows include in particular the flow between the Tricritical Ising model…

High Energy Physics - Theory · Physics 2010-04-05 P. Grinza , B. Ponsot

The dynamics of cold strongly magnetized plasma -- traditionally the domain of force-free electrodynamics -- has recently been reformulated in terms of symmetries and effective field theory, where the degrees of freedom are the momentum and…

High Energy Physics - Theory · Physics 2022-03-09 Nabil Iqbal