Sine-Gordon Field Theory
The Rise of Solitons in Sine Gordon Field Theory: From Jacobi Amplitude to Gudermannian Function
... The sine-Gordon field theory and the associated massive Thirring model [1] are some of the best studied quantum field theories. In view of its connections to other important physical ...
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Identifying the operator content, the Homogeneous sine-Gordon models
... conformal field theory had been reproduced by means of the thermodynamic Bethe ansatz [18] and the c-theorem in the context of the form factor program [16], we have now also identified the dimension of ...
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Form factors of the homogeneous sine-Gordon models
... In order to fix our conventions and to set up the general framework we commence by recalling briefly some general properties of form factors. For a proper justification of them in terms of general principles of quantum ...
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Type I integrable defects and finite-gap solutions for KdV and sine-Gordon models
... both sine-Gordon [7] and KdV [2] it was found that a single soliton passing through a defect is adjusted by a phase shift, in a sense that will be described further below, but the velocity of the soliton is ...
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(3+1)-dimensional topological quantum field theory from a tight-binding model of interacting spinless fermions
... sive theory. In the (1+1) dimensional case the equiva- lent theory is a sine-Gordon massive scalar ...gauge theory where the mass of the photon is given thanks to the interaction with a ...
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Multisymplectic approach to integrable defects in the sine-Gordon model
... conditions on the fields obtained in this way were recognized as B¨ acklund transformations frozen at the location of the defect. This approach triggered a strong activity in the analysis of the defect in integrable ...
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Multisymplectic approach to integrable defects in the sine-Gordon model
... the theory for models like ...The sine-Gordon model was the first model to receive attention [15], followed by a very nice series of papers tackling the question systematically for several models ...
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Breaking integrability at the boundary: the sine-Gordon model with Robin boundary conditions
... quantum field theories as deformations of integrable theories (see for example [24]), and it would be interesting to apply similar ideas to problems where integrability is instead broken just at a ...
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Thermodynamic Bethe ansatz of the homogeneous sine-Gordon models
... conformal field theory which governs the UV regime of the quantum field theory associated with the S-matrix elements (4) and ...WZNW-coset theory with effective central charge (2) in ...
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Massive symmetric space sine-Gordon soliton theories and perturbed conformal field theory
... The quantum integrability of the SSSG theories implies that they should admit a factorizable S-matrix and the next stage of analysis consists in establishing its form. As a first step towards this aim, we have ...
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Decoupling the SU(N)2-homogeneous sine-Gordon model
... Renormalization group methods have been developed originally [10] to carry out qualitative analysis of regions of quantum field theories which are not accessible by per- turbation theory in the coupling ...
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Decoupling the SU(N)_2-homogeneous Sine-Gordon model
... Renormalization group methods have been developed originally [10] to carry out qualitative analysis of regions of quantum field theories which are not accessible by per- turbation theory in the coupling ...
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Exact Topological Soliton Solutions to the Strongly Perturbed Family of Sine Gordon Type Equations
... to sine-Gordon type equations. Single, double, and triple sine-Gordon and sine-cosine-Gordon equations are investigated along with dispersive and highly dispersive ...unperturbed ...
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The Quantum Sine-Gordon model in perturbative AQFT : Convergence of the S-matrix and the interacting current
... We use the 2-point function of a Hadamard state for the massless scalar field in 2 dimensions to construct the star product of the free theory and, indirectly, to construct the time-ordered products. Such ...
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Numerical Solution of Klein/Sine Gordon Equations by Spectral Method Coupled with Chebyshev Wavelets
... as Sine- Gordon equation. The Klein-Gordon equation plays an important role in mathematical physics [1] [2] [3] and attracted more attention from scientists and engineering in different matter like ...
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Breathers in the elliptic sine-Gordon model
... a theory is constructed there is a well defined bootstrap proce- dure proposed by Karowski and Thun [26, 27], which allows to complete the theory and to construct also the breather ...Toda field ...
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Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
... quantum field theories there exist different types of bound state spectra which may be characterized by the absence or presence of solitons or ...quantum field theory the bootstrap picture means that ...
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A matrix-based numerical method for the simulation of the two-dimensional sine-Gordon equation*,, **
... Therefore, if N = 511, A and B have just 261121 elements, versus B ⊕ A, which has 68184176641 elements, of which 266604541 are nonzero! In other words, the problem becomes quickly intractable. Another virtue of the ...
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Block Unification Scheme for Elliptic, Telegraph, and Sine Gordon Partial Differential Equations
... C is the velocity of the solitary wave, and the boundary conditions are given according. The problem is solved for C = 0.5 , ∆ = t 0.125 , and ∆ = t 0.04 . This example was chosen to demonstrate that the EBNUM can be ...
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Berezinskii-Kosterlitz-Thouless phase transition from lattice sine-Gordon model
... This sine-Gordon model falls into a class of solid-on-solid (SOS) models, which display the BKT transition. In the context of the SOS models, this is a roughening transition. The relationship between ...
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