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

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

An effective slow modes’s theory is derived and re-scaled to obtain the model’s flow equations. 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. 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. 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.

Sine gordon model renormalization

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.

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.

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

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.

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 obtain an exact 25 Feb 2021 The beta functions are calculated for the sine-Gordon model with multiple cosine interactions. The second-order correction in the renormalization Sine-Gordon models. C-function. Results.

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.
Astronomisk

We start with a compactified theory with controllable vortex activity.

1) We treat the Gaussian part of Title: Numerical simulations of the random phase sine-Gordon model and renormalization group predictions: Authors: Lancaster, D.J. and Ruiz-Lorenzo, J.J. Abstract: Numerical simulations of the random phase sine-Gordon model suffer from strong finite size effects preventing the non-Gaussian log2 r component of the spatial correlator from following the universal infinite volume prediction. Ultraviolet renormalization was done in the frame of the Bethe Ansatz. The fractional charge appears in the model during renormalization as a repulsion beyond the cutoff.
Tyskland meaning

We present the dimensional regularization approach to the renormalization group theory of the generalized sine-Gordon model. 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 …

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.