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Related papers: On Form Factors of SU(2) Invariant Thirring Model

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We study the general structure of Smirnov's axioms on form factors of local operators in integrable models. We find various consistency conditions that the form factor functions have to satisfy. For the special case of the $O(3)$…

High Energy Physics - Theory · Physics 2009-10-28 J. Balog , T. Hauer

In the framework of the free field representation we obtain exact form factors of local operators in the two-dimensional affine Toda theories of the $A^{(1)}_{L-1}$ series. The construction generalizes Lukyanov's well-known construction to…

High Energy Physics - Theory · Physics 2014-11-20 Oleg Alekseev , Michael Lashkevich

A new approach to massive integrable models is considered. It allows one to find symmetry algebras which define spaces of local operators and to get general integral representations for form-factors in the\ $ SU(2)$\ Thirring and…

High Energy Physics - Theory · Physics 2010-11-01 S. Lukyanov

We propose explicit expressions for the form factors, including their normalization constants, of topologically charged (or soliton-creating) operators in the sine-Gordon model. The normalization constants, which constitute the main content…

High Energy Physics - Theory · Physics 2009-11-07 S. Lukyanov , A. Zamolodchikov

The SU(2) invariant massive Thirring model with a boundary is considered on the basis of the vertex operator approach. The bosonic formulae are presented for the vacuum vector and its dual in the presence of the boundary. The integral…

solv-int · Physics 2016-12-28 H. Furutsu , T. Kojima , Y. -H. Quano

We obtain a new integral formula for solutions of the rational quantum Knizhnik-Zamolodchikov equation associated with Lie algebra sl_{N} at level zero. Our formula contains the integral representation of form factors of SU(N) invariant…

Mathematical Physics · Physics 2007-05-23 Yoshihiro Takeyama

The space of local operators in the SU(2) invariant Thirring model (SU(2) ITM) is studied by the form factor bootstrap method. By constructing sets of form factors explicitly we define a susbspace of operators which has the same character…

Quantum Algebra · Mathematics 2009-11-10 Atsushi Nakayashiki

We develop a method for computing form factors of local operators in the framework of Sklyanin's separation of variables (SOV) approach to quantum integrable systems. For that purpose, we consider the sine-Gordon model on a finite lattice…

Mathematical Physics · Physics 2017-03-20 N. Grosjean , J. M. Maillet , G. Niccoli

A general model independent approach using the `off-shell Bethe Ansatz' is presented to obtain an integral representation of generalized form factors. The general techniques are applied to the quantum sine-Gordon model alias the massive…

High Energy Physics - Theory · Physics 2009-11-07 H. Babujian , M. Karowski

New integral representations for form factors in the two parametric SS model are proposed. Some form factors in the parafermionic sine-Gordon model and in an integrable perturbation of SU(2) coset conformal field theories are…

High Energy Physics - Theory · Physics 2007-05-23 Benedicte Ponsot

The chiral space of local fields in Sine-Gordon or the SU(2)-invariant Thirring model is studied as a module over the commutative algebra D of local integrals of motion. Using the recent construction of form factors by means of quantum…

Quantum Algebra · Mathematics 2007-05-23 Atsushi Nakayashiki

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

We present new expressions of form factors of the XXZ model which satisfy Smirnov's three axioms. These new form factors are obtained by acting the affine quantum group $U_q (\hat{\frak s \frak l_2})$ to the known ones obtained in our…

High Energy Physics - Theory · Physics 2016-09-06 Yas-Hiro Quano

Boundary operators and boundary states in $SU(2)$-invariant Thirring model are considered from the point of view of bosonization and oscillator realizations of bulk and boundary Zamolodchikov-Faddeev algebras.

High Energy Physics - Theory · Physics 2015-06-26 Boyu Hou , Kangjie Shi , Yanshen Wang , Wenli Yang , Liu Chao

We investigate the tensor form factors of the baryon octet within the framework of the chiral quark-soliton model, emphasizing those of the nucleon, taking linear 1/N_c rotational as well as linear m_s corrections into account, and applying…

High Energy Physics - Phenomenology · Physics 2014-11-20 Tim Ledwig , Antonio Silva , Hyun-Chul Kim

We continue the investigation of massive integrable models by means of the bootstrap fusion procedure, started in our previous work on O(3) nonlinear sigma model. Using the analogy with SU(2) Thirring model and the O(3) nonlinear sigma…

High Energy Physics - Theory · Physics 2009-10-30 Z. Horvath , G. Takacs

In the framework of the algebraic approach to form factors in two-dimensional integrable models of quantum field theory we consider the reduction of the sine-Gordon model to the $\Phi_{13}$-perturbation of minimal conformal models of the…

High Energy Physics - Theory · Physics 2016-02-19 Michael Lashkevich , Yaroslav Pugai

Form factors in the sinh-Gordon model are studied semiclassically for small values of the parameter $b\sim\hbar^{1/2}$ in the background of a radial classical solution, which describes a heavy exponential operator placed at the origin. For…

High Energy Physics - Theory · Physics 2024-04-08 Michael Lashkevich , Oleg Lisovyy , Tatiana Ushakova

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 classify the operator content of local hermitian scalar operators in the Sinh-Gordon model by means of independent solutions of the form-factor bootstrap equations. The corresponding linear space is organized into a tower-like structure…

High Energy Physics - Theory · Physics 2009-10-22 A. Koubek , G. Mussardo
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