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 of a perturbation expansion and we derive beta functions of the renormalization group theory.

Renormalization Group Theory&Sine-Gordon Model. 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. Kosterlitz-Thouless Phase Diagram . Gap. Red-marked items: updates on the original lecture plan.

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(M2), the dimensional coupling constant defined at the normalization scale M, and to all orders in β2, the dimensionless coupling constant. We show that all divergences can be removed by the renormalization of the dimensional coupling constant using the 2018-01-01 · In this paper, we investigate the renormalization group theory for the 2D generalized sine-Gordon model by using the dimensional regularization method to regularize the divergence [50-52]. Here the generalized sine-Gordon model is a sine-Gordon model that includes high frequency cosine potential terms such as cos(n[theta]) for an integer n. 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.

The variational approach to the sine-Gordon model. WKB formula for the mass of quantum breather. therein for the results on the sine-Gordon massless model using the quantum inverse scattering method). 1. The Renormalization Scheme.

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)

Wetterich RG Renormalization group analysis of the hyperbolic sine-Gordon model -- Asymptotic freedom from cosh interaction --. Takashi Yanagisawa.

OSTI.GOV Journal Article: Comparison of renormalization group schemes for sine-Gordon-type models

C-function. Results. Summary I. SG Higgs potential.

Lecture 3.
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Talrika exempel på översättningar klassificerade efter aktivitetsfältet av “gordon-shapiro model” – Engelska-Svenska ordbok och den intelligenta Isovector channel of quark-meson-coupling model and its effect on symmetry Monte Carlo simulations for a nonlocal sine-Gordon theory, vortex fluctuations, consistencies can be explained using a quantum mechanical model for the two-color high-order highly excited renormalized Rydberg states will connect smoothly to the continuum states at the O. E. Martinez, J. P. Gordon and R. L. Fork. Negative (3.3 fs) cosine and sine pulses are plotted and compared to two-colour brief overview of the particles of the Standard Model of particle physics.

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.
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The renormalization group flow is presented for the two-dimensional sine-Gordon model within the framework of the functional renormalization group method by

In fact, both models The beta functions are calculated for the sine-Gordon model with multiple cosine interactions. The second- the layered XY model which can be mapped onto the layered sine-Gordon model.

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sine-Gordon model J. Mateos Guilarte The classical action and the ﬁeld equations Solitary waves: kinks, solitons, and breathers The sine- Gordon Hamiltonian: more conserved charges Lectures on Quantum sine-Gordon Models Juan Mateos Guilarte1;2 1Departamento de …

Multi particle productions cancels on mass shell. 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.