Phase Structure and Compactness

Abstract

In order to study the influence of compactness on low-energy properties, we compare the phase structures of the compact and non-compact two-dimensional multi-frequency sine-Gordon models. It is shown that the high-energy scaling of the compact and non-compact models coincides, but their low-energy behaviors differ. The critical frequency ${\beta }^2=8\pi$ at which the sine-Gordon model undergoes a topological phase transition is found to be unaffected by the compactness of the field since it is determined by high-energy scaling laws. However, the compact two-frequency sine-Gordon model has first and second order phase transitions determined by the low-energy scaling: we show that these are absent in the non-compact model.

21 pages, 5 figures, minor changes, final version, accepted for publication in JHEP

References in corpus (16)

• Exact evolution equation for the effective potential
• Scalar fields, bent branes, and RG flow
• Functional renormalization group approach to the sine-Gordon model
• Classical behavior of deformed sine-Gordon models
• Comparison of renormalization group schemes for sine-Gordon type models
• Renormalizable parameters of the sine-Gordon model
• New family of sine-Gordon models
• Quantum censorship in two dimensions
• Generalized universality in the massive sine-Gordon model
• On the renormalization of the bosonized multi-flavor Schwinger model
• Massless fermions in multi-flavor QED_2
• On the applicability of the layered sine-Gordon model for Josephson-coupled high-T_c layered superconductors
• Exotic baryons in two-dimensional QCD and the generalized sine-Gordon solitons
• Applicability of layered sine-Gordon models to layered superconductors: II. The case of magnetic coupling
• Renormalization of QCD_2
• Deforming tachyon kinks and tachyon potentials

Cited by in corpus (12)

• Lectures on renormalization and asymptotic safety
• Functional renormalization group with a compactly supported smooth regulator function
• Nonperturbative renormalization group treatment of amplitude fluctuations for $|\phi {|}^4$ topological phase transitions
• Spontaneous symmetry breaking and optimization of functional renormalization group
• Bosonization and Functional Renormalization Group Approach in the Framework of QED_2
• Degeneracy induced scaling of the correlation length for periodic models
• The Numerically Optimized Regulator and the Functional Renormalization Group
• Renormalization of QCD_2
• Exact Renormalization Group and Sine Gordon Theory
• Holographic Beta functions for the Generalized Sine Gordon Theory
• Quantization leading to a natural flattening of the axion potential
• Perturbative versus Non-Perturbative Renormalization