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2 Jun 2016 The classical Sine-Gordon Model is a 2d-field theory and can be characterized as a In the action we have the quantity L/ standing, so. L = 1. They also showed that a pseudo- spectral method with a high order integrator produced smaller deviations in the actions than a finite difference technique. On the 6 Dec 2017 In the context of string theory this action is also a world sheet description of a particular tachyonic background. This has been exploited in. operator of the model in terms of the Sine-Gordon field of the Coulomb gas and hence obtain a dual monopoles [5] which have zero size and infinite action.

Sine gordon action

It is a quantized version of the relativistic energy–momentum relation. Its solutions include a quantum scalar or pseudoscalar field, a field whose quanta are spinless particles. Its theoretical relevance is similar to that of the Dirac Abstract It was conjectured that the classical bosonic string in AdS times a sphere has a special action variable which corresponds to the length of the operator on the field theory side. We discuss the analogous action variable in the sine–Gordon model. We explain the relation between this action variable and the Backlund transformations and show that the corresponding hidden symmetry acts Sine-Gordon Model. From 1D interacting electrons to the sine-Gordon model: Schematics of bosonization.

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For more information on the numerical method and on the interpretation of these results, please, refer to our preprint: D. Dutykh & J.-G. Caputo.

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Writing the free Action in terms of slow and fast modes: Since. Consider the action of the sine-Gordon model in the general form. SsG[ϕ] We will consider the sine-Gordon theory as a perturbation of a free massless boson. view sine–Gordon solitons, kinks and breathers as models of nonlinear the exerted action of the electric field vector along the z-axis will be zero and no. 15 Nov 1978 sine-Gordon equation on a lattice is studied. The corresponding B\"acklund transformations, soliton solutions, action principle, conservation 23 Sep 2011 This duality also restricts the sine-Gordon theory to only have soliton and anti- soliton solutions when β2 < 8π.

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For more information on the numerical method and on the interpretation of these results, please, refer to our preprint: D. Dutykh & J.-G. Caputo.

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Poetics of necessity – Unit's 2+3 E journey in search of - Issuu

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Lecture 2. January 21st. Renormalization Group Theory . General procedure III: Averaging in the fast modes’ ground state. Sine-Gordon Model. Conceptual overview. The model.

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