# sine-Gordon model: advanced topics J. Mateos Guilarte Non-perturbative renormalization of the sine-Gordon model The variational approach to the sine-Gordon model WKB formula for the mass of quantum breather states Lectures on Quantum sine-Gordon Models Juan Mateos Guilarte1;2 1Departamento de Física Fundamental (Universidad de Salamanca)

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

A perturbative renormalization group procedure is described, in which the sine-Gordon field 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. 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.

Renormalization Group Theory . General procedure III: Averaging in the fast modes’ ground state. Sine-Gordon Model. Conceptual overview. The model. Re-scaled Action for the sine-Gordon model.

## av L Kroon · 2007 · Citerat av 2 — Renormalization of aperiodic model lattices: spectral properties. J. Phys. to the integrable sine-Gordon equation ∂2u/∂t2 − ∂2u/∂x2 + sin u = 0, which can.

The resulting Kosterlitz-Thouless phase diagram is With a general Gaussian wave functional, the authors investigate the mass renormalization in the sine-Gordon model. At the phase transition point, the sine-Gordon system tends to a system of massless free bosons which possesses conformal symmetry. Abstract – We investigate the chiral sine-Gordon model using the renormalization group method.

### D J Thouless)Duality, Gauge Symmetries, Renormalization Groups and the BKT Goldman)Berezinskii–Kosterlitz–Thouless Transition within the Sine–Gordon Castellani and T Giamarchi)The Two-Dimensional Fully Frustrated XY Model

There were once some belief that our Chiral Sine-Gordon(˜SG) model can be mapped into or- 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. 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 is decomposed into slow and fast modes. An effective theory for the slow modes is derived and rescaled to yield the flow equations for the model.

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:. Website created to collect and disseminate knowledge about perturbative quantum field theory and renormalization. Renormalization group flow for general SU (2) coset models. Č Crnković, GM Semiclassical particle spectrum of double sine-Gordon model. G Mussardo, V
av L Kroon · 2007 · Citerat av 2 — Renormalization of aperiodic model lattices: spectral properties.

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Danika Gordon This book helps remind kids that through every day actions of being kind, helpful and Shop W.B. Seeing Sine and Cosine. references ↑ Near parabolic renormalization for unisingular holomorphic maps by Arnaud Cheritat The sine-Gordon model is discussed and analyzed within the framework of the renormalization group theory.

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CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We analyse the renormalizability of the sine–Gordon model by the example of the two–point causal Green function up to second order in αr(M 2), the dimensional coupling constant defined at the normalization scale M, and to all orders in β 2, the dimensionless coupling constant. ResearchArticle Dimensional Regularization Approach to the Renormalization Group Theory of the Generalized Sine-Gordon Model TakashiYanagisawa
sine-Gordon model: advanced topics J. Mateos Guilarte Non-perturbative renormalization of the sine-Gordon model The variational approach to the sine-Gordon model WKB formula for the mass of quantum breather states Lectures on Quantum sine-Gordon Models Juan Mateos Guilarte1;2 1Departamento de Física Fundamental (Universidad de Salamanca)
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.

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We analyze the phase structure and the renormalization group (RG) flow of the generalized sine-Gordon models with nonvanishing mass terms, using the Wegner-Houghton RG method in the local potential approximation. Abstract – We investigate the chiral sine-Gordon model using the renormalization group method. The chiral sine-Gordon model is a model for G-valued ﬁelds and describes a new class of phase transitions, where G is a compact Lie group.

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### av T Ohlsson · Citerat av 1 — The Standard Model of Elementary Particle Physics (SM) is the present theory. for the elementary 1Equations of this type are called renormalization group equations. 31 The Klein{Gordon equation does not reveal the full spin. structure of There are three di erent important regions of the sine function arguments: m 2.

The Renormalization Scheme. 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.