In quantum field theory the sine-Gordon model contains a parameter that can be identified with the Planck constant. The particle spectrum consists of a soliton, an anti-soliton and a finite (possibly zero) number of breathers. The number of the breathers depends on the value of the parameter. Multi particle productions cancels on mass shell.

Sine-Gordon Model: Renormalization Group Solution and Applications Abstract. The sine-Gordon model is discussed and analyzed within the framework of the renormalization group theory. Introduction. The sine-Gordon model was originally proposed as a toy model for interacting quantum field theories.

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Introduction. The sine-Gordon model was originally proposed as a toy model for interacting quantum field theories. The sine-Gordon model is discussed and analyzed within the framework of the renormalization group theory. A perturbative renormalization group procedure is described, in which the sine-Gordon field 2005-05-31 · Abstract: We analyse the renormalizability of the sine-Gordon model by the example of the two-point Green function up to second order in alpha_r(M), the dimensional coupling constant defined at the normalization scale M, and to all orders in beta^2, the dimensionless coupling constant. We present a renormalization group analysis for the hyperbolic sine-Gordon (sinh-Gordon) model in two dimensions. We derive the renormalization group equations based on the dimensional regularization method and the Wilson method. The same equations are obtained using both these methods.

Sine-Gordon model and Thirring model Consider the action of the sine-Gordon model in the general form S sG[’] = Z d2x (@ ’)2 16ˇ + 2 cos ’ : (1) Here the action depends on two parameters: and . The parameter is dimensionless. We may consider it as the square root of the Planck constant: = p ~. Indeed, let u(x) = ’(x). Then the action

OSTI.GOV Journal Article: Renormalization of the Sine-Gordon model and nonconservation of the kink current The renormalization group flow is presented for the two-dimensional sine-Gordon model within the framework of the functional renormalization group method by including the wave-function renormalization constant. The Kosterlitz-Thouless-Berezinski type phase structure is recovered as the interpolating scaling law between two competing IR attractive area of the global renormalization group flow. OSTI.GOV Journal Article: Comparison of renormalization group schemes for sine-Gordon-type models We investigate the renormalization group theory of generalized multi-vertex sine-Gordon model by employing the dimensional regularization method and also the Wilson renormalization group method.

sine-Gordon model which preserves the locality of certain operators. The reduced model We use the renormalized coupling constant ~ = ~-y/(8~. — y).

We analyze the lattice model using the density matrix renormalization sine-Gordon model which preserves the locality of certain operators. The reduced model We use the renormalized coupling constant ~ = ~-y/(8~. — y).

The well-known phase structure of the two- dimensional sine-Gordon model is reconstructed by means of its renormalization group 25 Jan 2020 Invariant Gibbs dynamics for the dynamical sine-Gordon model After introducing a suitable renormalization, we first construct the Gibbs 23 Sep 2011 fermions - there is another theory, the massive Thirring model, that Measuring the quantum sine-Gordon kink mass numerically is a challenge, since one and can be renormalized [17] to produce the result for the mass 6 Dec 2017 1+1 dimensional sine-Gordon model perturbatively in the coupling. A CFT describes a fixed point under renormalization group (RG) of a 22 Feb 2017 Decoupling the SU(N)_2-homogeneous Sine-Gordon model The renormalization group flow is studied and we find a precise rule, depending Collective coordinate analysis for adding a space dependent potential to the double sine-Gordon model is presented. Interaction of solitons with a delta function In this paper a nonlocal generalization of the sine-Gordon equation, u(tt)+sin u=( In particular, some solutions of the sine-Gordon model (for example, traveling Example: Tensor-network representation of the Clock Model. = −෍ Tensor network renormalization (TNR, Evenbly, Vidal 2015) Sine-Gordon Model:.
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A nontrivial simple generalized model is the sine-Gordon model with 1 and 2.When is 1 =8#, 2 Sine-Gordon model and Thirring model Consider the action of the sine-Gordon model in the general form S sG[’] = Z d2x (@ ’)2 16ˇ + 2 cos ’ : (1) Here the action depends on two parameters: and .

A CFT describes a fixed point under renormalization group (RG) of a 22 Feb 2017 Decoupling the SU(N)_2-homogeneous Sine-Gordon model The renormalization group flow is studied and we find a precise rule, depending Collective coordinate analysis for adding a space dependent potential to the double sine-Gordon model is presented. Interaction of solitons with a delta function In this paper a nonlocal generalization of the sine-Gordon equation, u(tt)+sin u=( In particular, some solutions of the sine-Gordon model (for example, traveling Example: Tensor-network representation of the Clock Model.
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Dimensional Regularization Approach to the Renormalization Group Theory of the Generalized Sine-Gordon Model TakashiYanagisawa single-cosine potential (conventional sine-Gordon model). A nontrivial simple generalized model is the sine-Gordon model with 1 and 2.When is 1 =8#, 2

To prove the dimensional Sine-Gordon (SG) model in a two-parameter perturbative considering the renormalization of 2n-point functions of exponentials of the SG field. We investigate the renormalization group theory of generalized multi-vertex sine- Gordon model by employing the dimensional regularization method and also 23 Feb 2021 the quantum sine-Gordon (qSG) model in 1+1 space-time dimensions.

renormalization group results, obtained for the sine-Gordon model, are thus borrowed to describe diﬀerent aspects of Luttinger liquid systems, such as the nature of its excitations and phase

Renormalization group flows equations of the sine-Gordon model. The renormalization of the generalized sine-Gordon model was investigated [53] by the Wegner-Houghton method [54] and by the functional renormalization group method [55]. We use the dimensional regularization method in deriving the renormalization group equation for the generalized sine-Gordon model.