Släktträd Jean Hervé FAVRE - Geneanet

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SNUTP 95-119. hep-th/9512030. Lagrangian Formulation of. Symmetric Space sine-Gordon Models. Ioannis Bakas * * * Permanent address: Department of one-dimensional soliton solution of the Sine-Gordon equation. An averaged Lagrangian is now calculated by substituting the approximate solution (3) into the Lagrangian (2) and integrating over all space. The averaged Lagrangian L is then L = 2π 0 ∞ 0 Lrdrdθ.

�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.

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This Lagrangian is written as, by deﬁning g = eiϕ ∈ U(1), L = 1 2t ∂µg∂ µg−1 + α 2t (g +g−1). (2) This is generalized to a general Lie group G: L = 1 2t Tr∂µg∂µg−1 + α 2t Tr(g +g The Lagrangian of the generalized sine-Gordon model is given by where is a bare real scalar field and and are bare coupling constants. The second term indicates the potential energy of the scalar field .

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The Lagrangian in (2) describes the dynamics of two scalar fields in 1 + 1 dimensions, one of them with a self-intraction of the sine-Gordon type and the other a massless field in a background geometry having its own dynamical evolution. At the classical level, the sine-Gordon Lagrangian can be scaled to be independent of the parameter j /m^2, but the quantum energy levels depend on j /m^2 as is discussed by Rajaraman.

The generalized sine-Gordon model means the sine-Gordon model with high frequency cosine modes. We derive renormalization group equations for the generalized sine-Gordon model by regularizing the divergence based on the dimensional method. We discuss the scaling property 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 metric in target space. We provide a Lagrangian formulation of these systems by considering a triplet of Lie groups F \supset G \supset H. We point out that non-Abelian sine-Gordon solitons stably exist in the U(N) chiral Lagrangian. They also exist in a U(N) gauge theory with two N by N complex scalar fields coupled to each other. Klein-Gordon’s equation We consider the scalar ﬁeld φ(x) which, according to its deﬁnition, behaves under Lorentz transformation like φ0(x0) = φ(x). Now L= L(φ,∂φ/∂x µ).
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• nr,r, nr,φ, nr,z, [21] A. Veitl, T. Gordon, A. Van De Sand, M. Howell, M. Valasek, O. Vaculin,. 1; 4; A; B; C; D; E; F; G; H; I; J; K; L. M; N; O; P; Q; R; S; T; U; V; W; X; Y; Z. 10th Ward Fire District 1 Bonita Volunteer Fire Department · 40th Street Park · 4B Ranch  av D Brehmer · 2018 · Citerat av 1 — 91 support learning.

The sine-Gordon equation is integrated by the inverse scattering method. References Steuerwald, R., Uber enneper’sche Fl¨ achen und B¨ ¨acklund’sche Transformation, Abh. Bayer. Akad.
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Key words and phrases. Elliptic sine-Gordon equation, variational methods, numerical computation. The Lagrangian in (2) describes the dynamics of two scalar fields in 1 + 1 dimensions, one of them with a self-intraction of the sine-Gordon type and the other a massless field in a background geometry having its own dynamical evolution.