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Related papers: Finite volume expectation values in the sine-Gordo…

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Using fermionic basis we conjecture the exact formulae for the expectation values of local fields in sinh-Gordon model. The conjecture is checked against previously known results.

High Energy Physics - Theory · Physics 2015-06-16 S. Negro , F. Smirnov

In the repulsive regime of the sine-Gordon model, we work out a method, that enables one to formulate the UV limit of finite volume expectation values in terms of the integrable description of the UV limit of the corresponding spectral…

High Energy Physics - Theory · Physics 2024-10-23 Arpad Hegedus

Using the fermionic basis we conjecture exact expressions for diagonal finite volume matrix elements of exponential operators and their descendants in the sinh-Gordon theory. Our expressions sum up the LeClair-Mussardo type infinite series…

High Energy Physics - Theory · Physics 2019-07-24 Zoltan Bajnok , Fedor Smirnov

In this paper we present sets of linear integral equations which make possible to compute the finite volume expectation values of the trace of the stress energy tensor ($\Theta$) and the $U(1)$ current ($J_\mu$) in any eigenstate of the…

High Energy Physics - Theory · Physics 2019-10-23 A. Hegedus

In this paper we demonstrate, that the light-cone lattice approach for the Massive-Thirring (sine-Gordon) model, through the quantum inverse scattering method, admits an appropriate framework for computing the finite volume form-factors of…

High Energy Physics - Theory · Physics 2017-09-13 Arpad Hegedus

We review the construction of the fermionic basis for sinh-Gordon model and investigate numerically the ultra-violet limit of the one-point functions. We then compare the predictions obtained from this formalism against previously…

High Energy Physics - Theory · Physics 2014-08-05 Stefano Negro

There are two approaches to computing the one-point functions for sine-Gordon model in infinite volume. One is a bootstrap type procedure based on the reflection relations. Another uses the fermionic basis which was originally found for the…

High Energy Physics - Theory · Physics 2015-06-15 S. Negro , F. Smirnov

We show how to compute form factors, matrix elements of local fields, in the restricted sine-Gordon model, at the reflectionless points, by quantizing solitons. We introduce (quantum) separated variables in which the Hamiltonians are…

High Energy Physics - Theory · Physics 2008-11-26 O. Babelon , D. Bernard , F. A. Smirnov

We study the finite-temperature expectation values of exponential fields in the sine-Gordon model. Using finite-volume regularization, we give a low-temperature expansion of such quantities in terms of the connected diagonal matrix…

Strongly Correlated Electrons · Physics 2015-06-18 Francesco Buccheri , Gabor Takacs

We propose an explicit expression for vacuum expectation values of the exponential fields in the sine-Gordon model. Our expression agrees both with semi-classical results in the sine-Gordon theory and with perturbative calculations in the…

High Energy Physics - Theory · Physics 2009-10-30 S. Lukyanov , A. Zamolodchikov

We determine the fermion mass dependence of Euclidean finite volume partition functions for three-dimensional QCD in the epsilon-regime directly from the effective field theory of the pseudo-Goldstone modes by using zero-dimensional…

High Energy Physics - Theory · Physics 2009-11-11 Richard J. Szabo

We consider diagonal matrix elements of local operators between multi-soliton states in finite volume in the sine-Gordon model, and formulate a conjecture regarding their finite size dependence which is valid up to corrections exponential…

High Energy Physics - Theory · Physics 2013-03-14 T. Pálmai , G. Takács

In this thesis, we review recent progresses on Nonlinear Integral Equation approach to finite size effects in two dimensional integrable quantum field theories, with emphasis to Sine-Gordon/Massive Thirring model and restrictions to minimal…

High Energy Physics - Theory · Physics 2007-05-23 G. Feverati

We develop a new method to calculate finite size corrections for form factors in two-dimensional integrable quantum field theories. We extract these corrections from the excited state expectation value of bilocal operators in the limit when…

High Energy Physics - Theory · Physics 2024-02-15 Zoltan Bajnok , Georgios Linardopoulos , István M. Szécsényi , Istvan Vona

We consider the k-folded sine-Gordon model, obtained from the usual version by identifying the scalar field after k periods of the cosine potential. We examine (1) the ground state energy split, (2) the lowest lying multi-particle state…

High Energy Physics - Theory · Physics 2009-10-31 Z. Bajnok , L. Palla , G. Takacs , F. Wagner

We investigate the massive Sine-Gordon model in the finite ultraviolet regime on the two-dimensional Minkowski spacetime $(\mathbb{R}^2,\eta)$ with an additive Gaussian white noise. In particular we construct the expectation value and the…

Mathematical Physics · Physics 2023-11-06 Alberto Bonicelli , Claudio Dappiaggi , Paolo Rinaldi

We describe the integrable structure of the space of local operators for the supersymmetric sine-Gordon model. Namely, we conjecture that this space is created by acting on the primary fields by fermions and a Kac-Moody current. We proceed…

High Energy Physics - Theory · Physics 2019-09-04 C. Babenko , F. Smirnov

We derive a characterization of the spectrum of the Sinh-Gordon model in terms of certain nonlinear integral equations. There exists a large class of solutions to these equations which allows a continuation between the infrared and the…

High Energy Physics - Theory · Physics 2017-05-09 J. Teschner

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 obtain exactly the vacuum expectation values $<(\partial\phi)^2 ({\bar\partial}\phi) e^{i\alpha\phi}>$ in the sine-Gordon model and $<L_{-2}{\bar L}_{-2} \Phi_{l,k}>$ in $\Phi_{1,3}$ perturbed minimal CFT. We discuss applications of…

High Energy Physics - Theory · Physics 2009-10-31 V. Fateev , D. Fradkin , S. Lukyanov , A. Zamolodchikov , Al. Zamolodchikov
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