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We compare form factors in sine-Gordon theory, obtained via the bootstrap, to finite volume matrix elements computed using the truncated conformal space approach. For breather form factors, this is essentially a straightforward application…

High Energy Physics - Theory · Physics 2011-08-09 G. Feher , G. Takacs

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 sinh-Gordon model with integrable boundary conditions is considered in low order perturbation theory. It is pointed out that results obtained by Ghoshal for the sine-Gordon breather reflection factors suggest an interesting dual…

High Energy Physics - Theory · Physics 2009-10-30 E Corrigan

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

The investigation of boundary breather states of the sinh-Gordon model restricted to a half-line is revisited. Properties of the classical boundary breathers for the two-parameter family of integrable boundary conditions are reviewed and…

High Energy Physics - Theory · Physics 2008-11-26 E. Corrigan , A. Taormina

We present an investigation of the boundary breather states of the sinh-Gordon model restricted to a half-line. The classical boundary breathers are presented for a two parameter family of integrable boundary conditions. Restricting to the…

High Energy Physics - Theory · Physics 2008-11-26 E. Corrigan , G. W. Delius

Using the results of previous investigations on sine-Gordon form factors exact expressions of all breather matrix elements are obtained for several operators: all powers of the fundamental bose field, general exponentials of it, the energy…

High Energy Physics - Theory · Physics 2008-11-26 H. Babujian , M. Karowski

Multi-soliton form factors in sine-Gordon theory from the bootstrap are compared to finite volume matrix elements computed using the truncated conformal space approach. We find convincing agreement, and resolve most of the issues raised in…

High Energy Physics - Theory · Physics 2013-05-30 G. Z. Feher , T. Palmai , G. Takacs

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

Using the methods of the 'form factor program' exact expressions of all matrix elements are obtained for several operators of the quantum sine-Gordon model alias the massive Thirring model. A general formula is presented which provides form…

High Energy Physics - Theory · Physics 2007-05-23 H. Babujian , M. Karowski

We argue that, contrary to previous claims, the supersymmetric sine-Gordon model with boundary has a two-parameter family of boundary interactions which preserves both integrability and supersymmetry. We also propose the corresponding…

High Energy Physics - Theory · Physics 2014-11-18 Rafael I. Nepomechie

The purpose of this talk is to sketch some recent progress which has been made in calculating non-perturbatively the reflection factors for the sinh-Gordon model restricted to a half-line by integrable boundary conditions. The essential…

High Energy Physics - Theory · Physics 2007-05-23 E. Corrigan

The free field representation for form factors in the sinh-Gordon model and the sine-Gordon model in the breather sector is modified to describe the form factors of descendant operators, which are obtained from the exponential ones,…

Mathematical Physics · Physics 2010-06-01 Boris Feigin , Michael Lashkevich

The most general solution to the form factor problem in the sinh-Gordon model is presented in an explicit way. The linearly independent classes of solutions correspond to powers of the elementary field. We show how the form factors of…

High Energy Physics - Theory · Physics 2009-10-30 M. Pillin

We study the space of local operators in the sinh-Gordon model in the framework of the bootstrap form factor approach. Our final goal is to identify the operators obtained by solving bootstrap equations with those defined in terms of the…

High Energy Physics - Theory · Physics 2015-06-23 Michael Lashkevich , Yaroslav Pugai

We study form factors of the quantum complex sinh-Gordon theory in the algebraic approach. In the case of exponential fields the form factors can be obtained from the known form factors of the $Z_N$-symmetric Ising model. The algebraic…

High Energy Physics - Theory · Physics 2016-11-28 Michael Lashkevich , Yaroslav Pugai

The supersymmetric sinh-Gordon model on a half-line with integrable boundary conditions is considered perturbatively to verify conjectured exact reflection factors to one loop order. Propagators for the boson and fermion fields restricted…

High Energy Physics - Theory · Physics 2015-06-25 M. Ablikim , E. Corrigan

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

The quantum sine-Gordon model is the simplest massive interacting integrable quantum field theory whose two-particle scattering matrix is generally non-diagonal. As such, it is a model that has been extensively studied, especially in the…

High Energy Physics - Theory · Physics 2021-06-09 Olalla A. Castro-Alvaredo , David X. Horvath

The diagonal matrix elements $\langle\theta_1,\theta_2|T_{2n}T_{-2n}|\theta_1,\theta_2\rangle$ between two-particle states in the sinh-Gordon model are computed analytically for all integers $n>0$. This confirms the proposal by F. Smirnov…

High Energy Physics - Theory · Physics 2016-07-20 Michael Lashkevich , Yaroslav Pugai
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