2015-12-01 · In this paper we study the c-function of the sine-Gordon model taking explicitly into account the periodicity of the interaction potential.The integration of the c-function along trajectories of the non-perturbative renormalization group flow gives access to the central charges of the model in the fixed points.

The functional renormalization group treatment is presented for the two-dimensional sine-Gordon model including a bilocal term in the potential, which contributes to the flow at the tree level. It is shown that the flow of the bilocal term can substitute the evolution of the wave function renormalization constant, since it can recover the Kosterlitz–Thouless type phase transition.

Since this approach is already familiar, we only outline the main steps. 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. Multi-particle production cancels on mass shell.

Sine gordon model renormalization

Conceptual overview. The model. 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 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

Functional renormalization group approach to correlated fermion systems. 20 jan · Sommerfeld R-matrix Quantization of the Ruijsenaars-Schneider Models.

The parameter is dimensionless. We may consider it as the square root of the Planck constant: = p ~. Indeed, let u(x) = ’(x). 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).

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.
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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.

An effective theory for the slow modes is derived and rescaled to yield the flow equations for the model.
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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. In the continuum limit the theory has a phase in which the kink current is anomalous, with divergence given by the vortex density.

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. Download Citation | Renormalization group theory of generalized multi-vertex sine-Gordon model | We investigate the renormalization group theory of generalized multi-vertex sine-Gordon model by 2018-01-01 dimensional sine-Gordon (SG) model has a well-known phase structure and renormalization group ﬂow but does not easily ﬁt into the general scheme. Our aim in this work is the clariﬁca-tion of these issues by a careful renormalization group study of the SG model. The SG model, deﬁned by the action S = (1) x 1 2 (∂μφx) 2 +u1 cos(βφ), Renormalization Group Theory&Sine-Gordon Model. SUMMARY OF THE LECTURES. Lecture 3.

2.3.2 Renormalization equations for sine-Gordon Hamiltonians. To complete our MODEL WITH SPIN; CHARGE AND SPIN EXCITATIONS. 57. R(r1 − r2) = 〈

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. 2015-12-01 · In this paper we study the c-function of the sine-Gordon model taking explicitly into account the periodicity of the interaction potential.The integration of the c-function along trajectories of the non-perturbative renormalization group flow gives access to the central charges of the model in the fixed points. Renormalization Group Analysis of the Phase Transition in the 2D Coulomb Gas, Sine-Gordon Theory and xy Model - Amit, Daniel J. et al. J.Phys.

integration of -function trajectories of the non-perturbative renormalization group ﬂow gives access to the central charges of the model in the ﬁxed points. The results at vanishing frequency. β. 2 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. ResearchArticle Dimensional Regularization Approach to the Renormalization Group Theory of the Generalized Sine-Gordon Model TakashiYanagisawa 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) Sine-Gordon model and Thirring model Consider the action of the sine-Gordon model in the general form S sG[’] = Z d2x (@ ’)2 16ˇ + 2 cos ’ : (1) Here the action depends on two parameters: and . The parameter is dimensionless. We may consider it as the square root of the Planck constant: = p ~.