# Spectra and Dynamics of Excitations in Long-Range - DiVA

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SUMMARY OF THE LECTURES. Lecture 3. January 23rd. Sine-Gordon Model. Re-scaled Action for the sine-Gordon model. Renormalization group flows equations of the sine-Gordon model.

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We show that the model is renormalizable by means 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.

## DiVA - Sökresultat - DiVA Portal

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 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.

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The vertex interaction is given by cos(k j · φ) where k j (j = 1, 2, …, M) are momentum vectors and φ is an N-component scalar field. We renormalize the (1+1)-dimensional sine-Gordon model by placing it on a Euclidean lattice, and study the renormalization group flow. We start with a compac 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.

A perturbative renormalization group procedure is carried out through a decomposition of the sine-Gordon field in slow and fast modes. An effective slow modes's theory is derived and re-scaled to obtain the model's flow equations. 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.

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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:. Website created to collect and disseminate knowledge about perturbative quantum field theory and renormalization.

We show that the model is renormalizable by means
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.

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We show that a finite size prediction based on perturbative renormalization group (RG) arguments agrees well with new high precision simulations for small coupling and Sine-Gordon Model and Renormalization Group Predictions David J. Lancaster Department of Computer Science Westminster University Juan J. Ruiz-Lorenzo Departamento de F¶‡sica Universidad de Extremadura Instituto de Biocomputaci¶on y F¶‡sica de los Sistemas Complejos [BIFI](UZ) D.J.Lancaster@westminster.ac.uk, ruiz@unex.es We shall use a functional renormalization-group RG scheme to study the model at ﬁnite temperatures. Our ap-proach is as follows: we perform a simple transformation which maps the PT model to a sine-Gordon model with ad-ditional terms depending only on the total topological “charge” of the system and on the driving wave vector Q. 2012-02-16 · The sine-Gordon model is discussed and analyzed within the framework of the renormalization group theory.

## DiVA - Sökresultat - DiVA Portal

Abstract – We investigate the chiral sine-Gordon model using the renormalization group method.

We renormalize the (1+1)-dimensional sine-Gordon model by placing it on a Euclidean lattice, and study the renormalization group flow. We start with a compactified theory with controllable vortex activity.