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The RG behavior of ˜SG theory is com-pletely di erent(and somewhat much more simpler) than SG theory, and it shows that relevance of tunneling be-tween double-layer edge modes changes according to bulk topological structure. 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.

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. Renormalization Group Theory&Sine-Gordon Model.

## Sommerfeld Theory Colloquium ASC – Lyssna här – Podtail

Lecture 2. January 21st.

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Chiral Sine-Gordon(˜SG) model can be mapped into or-dinary Sine-Gordon(SG) theory, but we now know that this is wrong.

Note the common crossing at d = 2.

Safa conference 2021

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. Abstract.

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].

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### Galen M. Sotkov - Google Scholar

The fractional charge appears in the model during renormalization as a repulsion beyond the cutoff. Multi-particle production cancels on mass shell. The exact solution shows once again the equivalence of the Thirring model and the quantum sine-Gordon model. They are the non- linear sigma model, the φ4 model and the sine-Gordon model. We use the dimensional regularization method to regularize the divergence and It appears that the sinh-Gordon model is similar to the ϕ4 model when we expand coshϕ in terms of ϕ. 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.