Functional renormalization group approach to the sine-Gordon model
arXiv:0904.3689 · doi:10.1103/PhysRevLett.102.241603
Abstract
The renormalization group flow is presented for the two-dimensional sine-Gordon model within the framework of the functional renormalization group method by including the wave-function renormalization constant. The Kosterlitz-Thouless-Berezinski type phase structure is recovered as the interpolating scaling law between two competing IR attractive area of the global renormalization group flow.
4 pages, 3 figures
References in corpus (7)
- Exact evolution equation for the effective potential
- Kosterlitz-Thouless behavior in layered superconductors: the role of the vortex-core energy
- Renormalizable parameters of the sine-Gordon model
- Sine-Gordon description of Beresinskii-Kosterlitz-Thouless physics at finite magnetic field
- Generalized universality in the massive sine-Gordon model
- On the applicability of the layered sine-Gordon model for Josephson-coupled high-T_c layered superconductors
- Applicability of layered sine-Gordon models to layered superconductors: II. The case of magnetic coupling
Cited by in corpus (41)
- The nonperturbative functional renormalization group and its applications
- Fundamentals of the Exact Renormalization Group
- Lectures on renormalization and asymptotic safety
- Reexamination of the nonperturbative renormalization-group approach to the Kosterlitz-Thouless transition
- Scaling Solutions in Continuous Dimension
- Infrared fixed point in quantum Einstein gravity
- Nonperturbative functional renormalization-group approach to the sine-Gordon model and the Lukyanov-Zamolodchikov conjecture
- Functional renormalization group with a compactly supported smooth regulator function
- Nonperturbative renormalization group treatment of amplitude fluctuations for topological phase transitions
- Interplay of spin waves and vortices in the 2D XY model at small vortex-core energy
- Bosonization and Functional Renormalization Group Approach in the Framework of QED_2
- Truncation Effects in the Functional Renormalization Group Study of Spontaneous Symmetry Breaking
- Spontaneous symmetry breaking and optimization of functional renormalization group
- Quantum censorship in two dimensions
- Critical exponents of the O(N) model in the infrared limit from functional renormalization
- Structure of the broken phase of the sine-Gordon model using functional renormalization
- Analyticity of critical exponents of the models from nonperturbative renormalization
- Degeneracy induced scaling of the correlation length for periodic models
- Interplay of fixed points in scalar models
- Phase Structure and Compactness
- Topological phase transitions in four dimensions
- -function and central charge of the sine-Gordon model from the non-perturbative renormalization group flow
- The Numerically Optimized Regulator and the Functional Renormalization Group
- Exact Renormalization Group and Sine Gordon Theory
- Pokrovsky-Talapov Model at finite temperature: a renormalization-group analysis
- Renormalization of QCD_2
- Asymptotic safety in the sine-Gordon model
- Quantum-classical transition in the Caldeira-Leggett model
- Lattice sine-Gordon model
- Spontaneous symmetry breaking and linear effective potentials
- Functional renormalization flow and dynamical chiral symmetry breaking of QCD
- Functional renormalization-group approach to the Pokrovsky-Talapov model via modified massive Thirring fermion model
- Holographic Beta functions for the Generalized Sine Gordon Theory
- Coulomb Gas and Sine-Gordon Model in Arbitrary Dimension
- Quantization leading to a natural flattening of the axion potential
- On the Lorentz symmetry in conformally reduced Quantum Gravity
- Helicity modulus in the bilayer XY model by worm algorithm
- Perturbative versus Non-Perturbative Renormalization
- Renormalization of the bilocal sine-Gordon model
- Renormalization group theory of generalized multi-vertex sine-Gordon model
- Higher-derivative four-dimensional sine-Gordon model