Symmetries and Phase Structure of the Layered Sine-Gordon Model

Abstract

The phase structure of the layered sine-Gordon (LSG) model is investigated in terms of symmetry considerations by means of a differential renormalization group (RG) method, within the local potential approximation. The RG analysis of the general N-layer model provides us with the possibility to consider the dependence of the vortex dynamics on the number of layers. The Lagrangians are distinguished according to the number of zero eigenvalues of their mass matrices. The number of layers is found to be decisive with respect to the phase structure of the N-layer models, with neighbouring layers being coupled by terms quadratic in the field variables. It is shown that the LSG model with N layers undergoes a Kosterlitz--Thouless type phase transition at the critical value of the parameter β^2_{c} = 8 N π. In the limit of infinitely many layers the LSG model can be considered as the discretized version of the three-dimensional sine-Gordon model which has been shown to have a single phase within the local potential approximation. The infinite critical value of the parameter β_c^2 for the LSG model in the continuum limit (N -> \infty) is consistent with the latter observation.

arXiv comment14 pages, 2 figures

References in corpus (14)

• The Massive Multi-flavor Schwinger Model
• On the renormalization of periodic potentials
• Renormalization-Group Analysis of the Generalized sine-Gordon Model and of the Coulomb Gas for d >= 3 Dimensions
• Renormalization of the Periodic Scalar Field Theory by Polchinski's Renormalization Group Method
• Wave-function renormalization for the Coulomb-gas in Wegner-Houghton's RG method
• Renormalization-Group Analysis of Layered Sine-Gordon Type Models
• Two-loop beta functions of the Sine-Gordon model
• Periodic ground state for the charged massive Schwinger model
• Is the energy density of the ground state of the sine-Gordon model unbounded from below for beta^2 > 8 pi ?
• The Current-Temperature Phase Diagram of Layered Superconductors
• Differential Renormalization-Group Approach to the Layered sine-Gordon Model
• Potential and current distribution in strongly anisotropic Bi(2)Sr(2) CaCu(2)O(8) single crystals at current breakdown
• Transverse and secondary voltages in BSCCO single crystals
• Length-scale-dependent phase transition in BSCCO single crystals

Cited by in corpus (12)

• Comparison of renormalization group schemes for sine-Gordon type models
• Bosonization and Functional Renormalization Group Approach in the Framework of QED_2
• Spontaneous symmetry breaking and optimization of functional renormalization group
• On the renormalization of the bosonized multi-flavor Schwinger model
• Critical exponents of the O(N) model in the infrared limit from functional renormalization
• Massless fermions in multi-flavor QED_2
• On the applicability of the layered sine-Gordon model for Josephson-coupled high-T_c layered superconductors
• Degeneracy induced scaling of the correlation length for periodic models
• Interplay of fixed points in scalar models
• The Numerically Optimized Regulator and the Functional Renormalization Group
• Applicability of layered sine-Gordon models to layered superconductors: II. The case of magnetic coupling
• Coulomb Gas and Sine-Gordon Model in Arbitrary Dimension