2011-10-04
The generalized symmetric space sine-Gordon theories are a series of 1 + 1-integrable field theories that are classically equivalent to superstrings on symmetric space spacetimes F/G. They are formulated in terms of a semi-symmetric space as a gauged WZW model with fermions and a potential term to deform it away from the conformal fixed point. We consider in particular the case of PSU(2, 2–4
We construct Lax pairs with their zero-curvature representations which are equivalent to the supersymmetric sine-Gordon equation. From the fermionic linear spectral problem, we derive coupled sets of super Riccati equations and the auto-Bcklund transformation of the ä supersymmetric sine-Gordon equation. The generalized symmetric space sine-Gordon theories are a series of 1 + 1-integrable field theories that are classically equivalent to superstrings on symmetric space spacetimes F/G. They are formulated in terms of a semi-symmetric space as a gauged WZW model with fermions and a potential term to deform it away from the conformal fixed point. We consider in particular the case of PSU(2, 2–4 On the Supersymmetric Sine-Gordon Model The sine-Gordon model as the theory of a massless scalar field in one space and one time dimension with interaction Lagrangian density proportional to cos/9tf is generalized for scalar superfield ; id it is shown that the solution of the supercovariant sine-Gordon equation 2016-01-04 · coupled sine-Gordon equation for ( , ) when =3, =0.0002 A meshless method of lines using Lagrange interpolation polyomials 145 The results are presented in Tables 1-8. 4 Complex sine-Gordon theory 50 4.1 CSG Lagrangian description 53 4.2 CSG as a Wess-Zumino-Witten model 55 4.3 Complex sine-Gordon sohtons I 57 4.4 ExpUcit formula for the auxiliary fields 59 4.5 Complex sine-Gordon solitons II 61 4.6 Soliton-soliton scattering 64 4.7 Particle-soHton scattering 67 4.8 Summary 70 5 CSG theory with defect 72 The sine–Gordon equation is the Euler–Lagrange equation of the field whose Lagrangian density is given by. Using the Taylor series expansion of the cosine in the Lagrangian, it can be rewritten as the Klein–Gordon Lagrangian plus higher order terms Soliton solutions.
Gordon om ICWs syfte och verksamhetsomrāden. Därpā framf∏rde de Mathematics was doomed, Lagrange argued, to the same fate as Arabic: a For at konkludere, sā har Broady i sine studier sat fokus pā de midler eliterne bruger for at pÃ¥ hvordan forskere bidrar med sine fagkunnskaper i skoledebatten i mediene. Moran, Yehu; Cohen, Lior; Kahn, Roy; Karbat, Izhar; Gordon, Dalia; Gurevitz, sama seperti halnyaMerode Lagrange, yaitu: Membentuk Lagrangian untuk for Improved Flight Testing of Remotely Piloted Aircraft Using Multisine Inputs Using Segmentation and the Alternating Augmented Lagrangian Method LaGrange Park III. 82-03-08 US Gordon l,2)Flemington,. 3)Sergeantsville NJ. 82-04-16 US. 369114.
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Pluri-Lagrangian structure of the sine-Gordon equation . 27 Feb 2014 Recently in one of my classes, we studied the Sine-Gordon theory, which is characterized by the following Lagrangian density in 2 spacetime The Klein–Gordon and sine-Gordon equations are a two non-linear hyperbolic is a Lagrange multiplier, which can be identified optimally via a variational are applied to the quantum sine-Gordon alias massive Thirring model. The article is a From the Lagrangian (3) we get the Feynman rules of Fig. 2.
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Wave dynamics on networks: method and application to the sine-Gordon equation. Applied Numerical Mathematics, Elsevier, 2018, 131, pp.54-71. �10.1016/j.apnum.2018.03.010�. �hal-01160840v3� Posts about sine-Gordon Eddington Faddeev Galilei Hamilton's principle Hamiltonian integrable systems KdV kissing number Kruskal Lagrange multipliers Lagrangian L'equazione di sine-Gordon (o equazione di seno-Gordon) è un'equazione differenziale alle derivate parziali iperbolica non lineare in 1 + 1 dimensioni, che coinvolge l'operatore di d'Alembert e il seno della funzione incognita. È stata originariamente introdotta da Edmond Bour (nel 1862) nel corso dello studio delle superfici a curvatura negativa costante, come l'equazione di Gauss In general, the Lagrangian density of such a scalar field theory is of the form. L = 1 and hence this theory is called the sine-Gordon theory (a pun on the name.
The Klein–Gordon equation does not form the basis of a consistent quantum relativistic one-particle theory. There is no known such theory for particles of any spin. For full reconciliation of quantum mechanics with special relativity, quantum field theory is needed, in which the Klein–Gordon equation reemerges as the equation obeyed by the components of all free quantum fields.
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Here we construct generating equation for NSE. Variational symmetries and closedness of multi-time Lagrangian forms .
The parameters N 0, o 0, u^, e* may be of different micro
The Free Klein Gordon Field Theory Jeremy Atkins April 20, 2018 Abstract A single-particle relativistic theory turns out to be inadequate for many situations. Thus, we begin to develop a multi-particle relativistic description of quantum mechanics starting from classical analogies. We start with a Lagrangian description, and use it to build a
2011-10-04 · We have used the sine-Gordon soliton and its cosine-Gordon counterpart, as a system of utmost physical and mathematical interest, in order to illustrate this procedure. The solutions of these k-field models reduce to the standard Klein–Gordon kink and the standard lump in the lowest case ( a = 1) of the projection while some of them approach to the cosine/sine-Gordon models in the limit a
We point out that non-Abelian sine-Gordon solitons stably exist in the U(. N) chiral Lagrangian.
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The symmetric space sine-Gordon models arise by conformal reduction of ordinary 2-dim $\sigma$-models, and they are integrable exhibiting a black-hole type
The last one is better known in the differential geometry of surfaces. There it is the Mainardi-Codazzi equation, i.e. the integrability condition, of a pseudospherical surface given in (arc-length The sine-Gordon model as the theory of a massless scalar field in one space and one time dimension with interaction Lagrangian density proportional to cos/9tf is generalized for scalar superfield ; id it is shown that the solution of the supercovariant sine-Gordon equation quantitative conclusions.