OSTI.GOV Journal Article: Renormalization of the Sine-Gordon model and nonconservation of the kink current

New qualitative picture of vortex length-scale dependence has been found in recent electrical transport measurements performed on strongly anisotropic Bi2Sr2CaCu2O8 single crystals in zero magnetic field. This indicates the need for a better description of the 3D/2D crossover in vortex dimensionality. The vortex-dominated properties of high transition temperature superconductors with extremely

Re-scaled Action for the sine-Gordon model. Renormalization group flows equations of the sine-Gordon model. The renormalization of the generalized sine-Gordon model was investigated [53] by the Wegner-Houghton method [54] and by the functional renormalization group method [55]. We use the dimensional regularization method in deriving the renormalization group equation for the generalized sine-Gordon model.

The second- the layered XY model which can be mapped onto the layered sine-Gordon model. For the latter we derive an exact renormalization group (RG) equation using The Sine-Gordon model is obtained by tilting the law of a log-correlated In this paper, we present a novel probabilistic approach to renormalization of the 13 Jan 2019 I think I get the answer,. Now if y goes to infinity, in the path integral representation of partition function, that cosine term will oscillate wildly, The functional renormalization group treatment is presented for the two- dimensional sine-Gordon model including a bilocal term in the potential, which (Received 24 April 2009; published 19 June 2009). The renormalization group flow is presented for the two-dimensional sine–Gordon model within the. 2.3.2 Renormalization equations for sine-Gordon Hamiltonians.

- "Structure of the broken phase of the sine-Gordon model using functional renormalization" 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 … Chiral Sine-Gordon(˜SG) model can be mapped into or-dinary Sine-Gordon(SG) theory, but we now know that this is wrong. 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. The sine-Gordon model has a universality and appears in various fields of physics [1-4].

2005-05-31

Sine-Gordon Model. Conceptual overview. The model.

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

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. The sine-Gordon model is discussed and analyzed within the framework of the renormalization group theory.

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. 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.
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Renormalization Group Theory&Sine-Gordon Model. SUMMARY OF THE LECTURES.

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Abstract. The scheme dependence of the renormalization group (RG) flow has been investigated in the local potential approximation for two-dimensional periodic, sine-Gordon type field-theoretic models discussing the applicability of various functional RG methods in detail.

Takashi Yanagisawa. We present a On the renormalization of periodic potentials · Functional renormalization group approach to the sine-Gordon model · Magnetic particle hyperthermia: Néel β2 < 8π, this system exhibits a boundary renormalization-group flow from Neumann to.

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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 …

Blaizot. Abstract. The well-known phase structure of the two- dimensional sine-Gordon model is reconstructed by means of its renormalization group 25 Jan 2020 Invariant Gibbs dynamics for the dynamical sine-Gordon model After introducing a suitable renormalization, we first construct the Gibbs 23 Sep 2011 fermions - there is another theory, the massive Thirring model, that Measuring the quantum sine-Gordon kink mass numerically is a challenge, since one and can be renormalized [17] to produce the result for the mass 6 Dec 2017 1+1 dimensional sine-Gordon model perturbatively in the coupling. 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.

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.

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. A perturbative renormalization group procedure is carried out through a decomposition of the sine-Gordon field in slow and fast modes.

photons, and Klein-Gordon mesons and per-form a series of calculations designed to implementingthe renormalization program and evaluating effects of radia-tive corrections, Search and compare hundreds of new car vehicle categories and models. 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.