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

β2 < 8π, this system exhibits a boundary renormalization-group flow from Neumann to. Dirichlet By taking the massless limit of the sine-Gordon model with.

We start with a compac 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. 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. OSTI.GOV Journal Article: Comparison of renormalization group schemes for sine-Gordon-type models The renormalization group is a fundamental and powerful tool to investigate the property of quantum systems [1–15].The physics of a many-body system is sometimes captured by the analysis of an effective field theory model [16–19].Typically, effective field theory models are the ϕ 4 model, the non-linear sigma model and the sine-Gordon model. Each of these models represents universality as CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): 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. The sine-Gordon equation is a nonlinear hyperbolic partial differential equation in 1 + 1 dimensions involving the d'Alembert operator and the sine of the unknown function. It was originally introduced by Edmond Bour () in the course of study of surfaces of constant negative curvature as the Gauss–Codazzi equation for surfaces of curvature −1 in 3-space, and rediscovered by Frenkel and 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 The renormalization group flow is presented for the two-dimensional sine-Gordon model within the framework of the functional renormalization group method by 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) arXiv:hep-th/0509100v1 14 Sep 2005 Renormalization–Group Analysis of Layered Sine–Gordon Type Models I. Nandori´ 1,2, S. Nagy3, K. Sailer3 and U. D. Jentschura2 1Institute of Nuclear Research of the Hungarian Academy of Sciences, H-4001 Debrecen, P.O.Box 51, Hungary 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.

Sine gordon model renormalization

We may consider it as the square root of the Planck constant: = p ~. Indeed, let u(x) = ’(x). Then the action Functional Renormalization Group Approach to the Sine-Gordon Model S. Nagy,1 I. Na´ndori,2 J. Polonyi,3 and K. Sailer1 1Department of Theoretical Physics, University of Debrecen, Debrecen, Hungary 2Institute of Nuclear Research, P.O. Box 51, H-4001 Debrecen, Hungary 3Strasbourg University, CNRS-IPHC, BP28 67037 Strasbourg Cedex 2, France 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. arXiv:hep-th/0509100v1 14 Sep 2005 Renormalization–Group Analysis of Layered Sine–Gordon Type Models I. Nandori´ 1,2, S. Nagy3, K. Sailer3 and U. D. Jentschura2 1Institute of Nuclear Research of the Hungarian Academy of Sciences, 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 Renormalization of the Sine-Gordon model To learn more about the phase transition, we need to perform an explicit RG calculation. The good news about the SG model is that we can do so using the standard Wilson RG momentum shell approach.

Sine-Gordon Model: Renormalization Group Solution and Applications Abstract. The sine-Gordon model is discussed and analyzed within the framework of the renormalization group theory. Introduction. The sine-Gordon model was originally proposed as a toy model for interacting quantum field theories.

Note the common crossing at d = 2. - "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.

sine-Gordon model which preserves the locality of certain operators. The reduced model We use the renormalized coupling constant ~ = ~-y/(8~. — y).

The sine-Gordon model is discussed and analyzed within the framework of the renormalization group theory. Introduction. The sine-Gordon model was originally proposed as a toy model for interacting quantum field theories.

Then the action Fig. 32. The c frequency counted in units of the Wegner-Houghton whc frequency (43) against the dimension of the spacetime considered for various regulators for the parameters ae = be = ce = 1 and ap = 1, bp = 2, cf .eq (31), (44) and (45). Note the common crossing at d = 2. - "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]. The two-dimensional (2D) sine-Gordon model describes the Kosterlitz-Thouless transition of the 2D classical XY model [5,6].
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The number of the breathers depends on the value of the parameter. Multi particle productions cancels on mass shell.

J. Phys. to the integrable sine-Gordon equation ∂2u/∂t2 − ∂2u/∂x2 + sin u = 0, which can.
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Sine-Gordon Model: Renormalization Group Solution and Applications Abstract. The sine-Gordon model is discussed and analyzed within the framework of the renormalization group theory. Introduction. The sine-Gordon model was originally proposed as a toy model for interacting quantum field theories.

We show that the model is renormalizable by means of a perturbation expansion and we derive beta functions of the renormalization group theory. arXiv:hep-th/0509100v1 14 Sep 2005 Renormalization–Group Analysis of Layered Sine–Gordon Type Models I. Nandori´ 1,2, S. Nagy3, K. Sailer3 and U. D. Jentschura2 1Institute of Nuclear Research of the Hungarian Academy of Sciences, 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 Renormalization of the Sine-Gordon model To learn more about the phase transition, we need to perform an explicit RG calculation. The good news about the SG model is that we can do so using the standard Wilson RG momentum shell approach. Since this approach is already familiar, we only outline the main steps.