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Related papers: Roaming form factors for the tricritical to critic…

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We investigate the staircase model, introduced by Aliosha Zamolodchikov through an analytic continuation of the sinh-Gordon S-matrix to describe interpolating flows between minimal models of conformal field theory in two dimensions.…

High Energy Physics - Theory · Physics 2015-06-23 Patrick Dorey , Guy Siviour , Gabor Takacs

The $S$-matrix of the Ising Model can be obtained as particular limit of the roaming trajectories associated to of the $S$-matrix of the Sinh-Gordon model. Using the form factors of the Sinh-Gordon, we analyse the correspondence between the…

High Energy Physics - Theory · Physics 2009-10-22 C. Ahn , G. Delfino , G. Mussardo

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

Massless flows from the coset model su(2)_k+1 \otimes su(2)_k /su(2)_2k+1 to the minimal model M_k+2 are studied from the viewpoint of form factors. These flows include in particular the flow from the Tricritical Ising model to the Ising…

High Energy Physics - Theory · Physics 2009-11-10 P. Grinza , B. Ponsot

We discuss in this paper the behaviour of minimal models of conformal theory perturbed by the operator $\Phi_{13}$ at the boundary. Using the RSOS restriction of the sine-Gordon model, adapted to the boundary problem, a series of boundary…

High Energy Physics - Theory · Physics 2009-10-31 F. Lesage , H. Saleur , P. Simonetti

We discuss the determination of the lowest Form Factors relative to the trace operators of N=1 Super Sinh-Gordon Model. Analytic continuations of these Form Factors as functions of the coupling constant allows us to study a series of models…

High Energy Physics - Theory · Physics 2015-06-26 G. Mussardo

The staircase model is a simple generalization of the sinh-Gordon model, obtained by complexifying the coupling constant. This produces a new theory with many interesting features. Chief among them is the fact that scaling functions such as…

High Energy Physics - Theory · Physics 2022-03-24 Michele Mazzoni , Octavio Pomponio , Olalla A. Castro-Alvaredo , Francesco Ravanini

We derive a systematic construction for form factors of relevant fields in the thermal perturbation of the tricritical Ising model, an integrable model with scattering amplitudes described by the $E_7$ bootstrap. We find a new type of…

Statistical Mechanics · Physics 2024-06-06 B. Fitos , G. Takacs

In this manuscript we present a detailed investigation of the form factors of boundary fields of the sinh-Gordon model with a particular type of Dirichlet boundary condition, corresponding to zero value of the sinh-Gordon field at the…

High Energy Physics - Theory · Physics 2009-11-11 Olalla A. Castro-Alvaredo

We study quasilocal operators in the quantum complex sinh-Gordon theory in the form factor approach. The free field procedure for descendant operators is developed by introducing the algebra of screening currents and related algebraic…

High Energy Physics - Theory · Physics 2019-01-30 Michael Lashkevich , Yaroslav Pugai

The N=1 Super Sinh-Gordon model with spontaneously broken supersymmetry is considered. Explicit expressions for form-factors of the trace of the stress energy tensor Theta, the energy operator epsilon, as well as the order and disorder…

High Energy Physics - Theory · Physics 2015-06-26 Benedicte Ponsot

A non-perturbative method based on the Form Factor bootstrap approach is proposed for the analysis of correlation functions of 2-D massless integrable theories and applied to the massless flow between the Tricritical and the Critical Ising…

High Energy Physics - Theory · Physics 2009-12-30 G. Delfino , G. Mussardo , P. Simonetti

Using Watson's and the recursive equations satisfied by matrix elements of local operators in two-dimensional integrable models, we compute the form factors of the elementary field $\phi(x)$ and the stress-energy tensor $T_{\mu\nu}(x)$ of…

High Energy Physics - Theory · Physics 2009-10-22 A. Fring , G. Mussardo , P. Simonetti

We continue the study of form factors of descendant operators in the sinh- and sine-Gordon models in the framework of the algebraic construction proposed in [arXiv:0812.4776]. We find the algebraic construction to be related to a particular…

Mathematical Physics · Physics 2014-07-30 Michael Lashkevich , Yaroslav Pugai

We construct the form factors of the trace of energy-momentum tensor for the massless model described by $SU(2)$ principal chiral field model with WZNW tern on level 1. We explain how this construction can be generalized to a class of…

High Energy Physics - Theory · Physics 2015-06-26 P. Mejean , F. A. Smirnov

We provide a systematic construction for all n-particle form factors of the SU(N)_2/U(1)^{N-1}-homogeneous Sine-Gordon model in terms of general determinant formulae for a huge class of local operators. The ultraviolet limit is carried out…

High Energy Physics - Theory · Physics 2009-10-31 O. A. Castro-Alvaredo , A. Fring

The massless flow between successive minimal models of conformal field theory is related to a flow within the sine-Gordon model when the coefficient of the cosine potential is imaginary. This flow is studied, partly numerically, from three…

High Energy Physics - Theory · Physics 2015-06-26 P. Fendley , H. Saleur , Al. B. Zamolodchikov

Using exact expressions for the Ising form factors, we give a new very simple proof that the spin-spin and disorder-disorder correlation functions are governed by the Painlev\'e III non linear differential equation. We also show that the…

High Energy Physics - Theory · Physics 2008-11-26 Olivier Babelon , Denis Bernard

Using the recently introduced boundary form factor bootstrap equations, the form factors of boundary exponential operators in the sinh-Gordon model are constructed. The ultraviolet scaling dimension and the normalization of these operators…

High Energy Physics - Theory · Physics 2009-11-13 G. Takacs

The partition function of the two-dimensional Ising model is exactly obtained on a lattice with a twisted boundary condition. The continuum limit of the model off the critical temperature is found to give the mass-deformed Ising conformal…

High Energy Physics - Theory · Physics 2016-02-10 So Matsuura , Norisuke Sakai
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