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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: all powers of the fundamental bose field, general exponentials of it, the energy…

High Energy Physics - Theory · Physics 2009-10-31 H. Babujian , M. Karowski

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

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

A previously conjectured set of exact form factors of boundary exponential operators in the sinh-Gordon model is tested against numerical results from boundary truncated conformal space approach in boundary sine-Gordon theory, related by…

High Energy Physics - Theory · Physics 2011-08-25 M. Lencses , G. Takacs

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

We provide general determinant formulae for all n-particle form factors related to the trace of the energy momentum tensor and the analogue of the order and disorder operator in the $SU(3)_2$-homogeneous Sine-Gordon model. We employ the…

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

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

Classical sine-Gordon theory on a strip with integrable boundary conditions is considered analyzing the static (ground state) solutions, their existence, energy and stability under small perturbations. The classical analogue of Bethe-Yang…

High Energy Physics - Theory · Physics 2009-11-10 Z. Bajnok , L. Palla , G. Takacs

The composite operator T\bar{T}, obtained from the components of the energy-momentum tensor, enjoys a quite general characterization in two-dimensional quantum field theory also away from criticality. We use the form factor bootstrap…

High Energy Physics - Theory · Physics 2009-11-11 Gesualdo Delfino , Giuliano Niccoli

We provide detailed arguments on how to derive properties of generalized form factors, originally proposed by one of the authors (M.K.) and Weisz twenty years ago, solely based on the assumption of "minimal analyticity" and the validity of…

High Energy Physics - Theory · Physics 2009-10-31 H. Babujian , A. Fring , M. Karowski , A. Zapletal

We study the dynamics of the sine-Gordon model after a quantum quench into the attractive regime, where the spectrum consists of solitons, antisolitons and breathers. In particular, we analyse the time-dependent expectation value of the…

Statistical Mechanics · Physics 2017-10-27 Axel Cortés Cubero , Dirk Schuricht

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 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

Using the coherent state functional integral expression of the partition function, we show that the sine-Gordon model on an analogue curved spacetime arises as the effective quantum field theory for phase fluctuations of a weakly imperfect…

Quantum Physics · Physics 2016-08-02 T. J. Volkoff , Uwe R. Fischer

We revisit the exact solution of the two space-time dimensional quantum field theory of a free massless boson with a periodic boundary interaction and self-dual period. We analyze the model by using a mapping to free fermions with a…

High Energy Physics - Theory · Physics 2008-11-26 M. Hasselfield , Taejin Lee , G. W. Semenoff , P. C. E. Stamp

We consider the stress tensor in the massless Sine--Gordon model in the finite regime $\beta^2 < 4 \pi$ of the theory. We prove convergence of the renormalised perturbative series for the interacting stress tensor defined using the…

Mathematical Physics · Physics 2023-05-12 Markus B. Fröb , Daniela Cadamuro

A nonlinear wave equation that describes different nonlinear effects in various fields of research was considered. In two particular cases, this equation was reduced to the Sine-Gordon equation and the Born-Infeld equation. Using the slowly…

Pattern Formation and Solitons · Physics 2023-07-07 G. T. Adamashvili

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

In the bootstrap approach to integrable quantum field theories in the (1+1)-dimensional Minkowski space, one conjectures the two-particle S-matrix and tries to study local observables. The massless sine-Gordon model is conjectured to be…

Mathematical Physics · Physics 2016-12-13 Daniela Cadamuro , Yoh Tanimoto

The sine-Gordon field theory emerges as the low-energy description in a wealth of quantum many-body systems. Recent efforts have been directed towards realizing quantum simulators of the model, by interfering two weakly coupled…

Strongly Correlated Electrons · Physics 2022-08-17 Elisabeth Wybo , Michael Knap , Alvise Bastianello
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