A renormalization group analysis of the Kosterlitz-Thouless phase

DOI10.1007/BF02431881zbMath0732.46041OpenAlexW2077641812MaRDI QIDQ808394

T. R. Hurd, Jonathan Dimock

Publication date: 1991

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02431881

zbMATH Keywords

sine-Gordon field theoryfree fieldclassical Coulomb gas with a short distance cutoff in two dimensionscomplete renormalization group analysisinfrared asymptotic freedomKosterlitz-Thouless phaselong distance behaviormultipole phase

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17) Applications of functional analysis in quantum physics (46N50)

Related Items (13)

The short distance behavior of \((\Phi^ 4_ 3)\) ⋮ The renormalization group. Abstracts from the workshop held July 17--23, 2022 ⋮ Exact renormalization group and Sine Gordon theory ⋮ Correlations in the Kosterlitz-Thouless phase of the two-dimensional Coulomb gas ⋮ Nontrivial fixed points and screening in the hierarchical two-dimensional Coulomb gas ⋮ A renormalization group analysis of correlation functions for the dipole gas ⋮ Analytic results -- lattice and continuum ⋮ On the absence of intermediate phases in the two-dimensional Coulomb gas ⋮ Spectral gap critical exponent for Glauber dynamics of hierarchical spin models ⋮ Power-law falloff in two-dimensional Coulomb gases at inverse temperature \(\beta>8\pi\) ⋮ Bounds on Correlation Functions of Quantum Rotators ⋮ Coulomb interaction symmetries and the Mayer series in the two-dimensional dipole gas ⋮ Construction of the two-dimensional sine-Gordon model for \(\beta < 8\pi\)

Cites Work

• Grad \(\phi\) perturbations of massless Gaussian fields
• The dipole phase in the two-dimensional hierarchical Coulomb gas: Analyticity and correlations decay
• Debye screening for two-dimensional Coulomb systems at high temperatures
• Power-law falloff in the Kosterlitz-Thouless phase of a two-dimensional lattice Coulomb gas.
• The Kosterlitz-Thouless phase in a hierarchical model

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