The dipole phase in the two-dimensional hierarchical Coulomb gas: Analyticity and correlations decay

DOI10.1007/BF01454976zbMath0646.76091OpenAlexW2022465467MaRDI QIDQ1104196

G. Benfatto, Giovanni Gallavotti, Francesco Nicolò

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01454976

zbMATH Keywords

analyticitycorrelationshierarchical modelscalar fieldsrenormalization group theoryultraviolet stabilitydipole phaseKosterlitz-Thouless phase transitiontwo dimensional Coulomb system

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items

The Sine-Gordon field theory model at \(\alpha ^ 2=8\pi\), the non- superrenormalizable theory, Some results for the exponential interaction in two or more dimensions, Grad \(\phi\) perturbations of massless Gaussian fields, Nontrivial fixed points and screening in the hierarchical two-dimensional Coulomb gas, Kosterlitz-Thouless transition line for the two dimensional Coulomb gas, The \((N=1)\) supersymmetric sine-Gordon model in two dimensions. II, Long range order for lattice dipoles, Ground states and hyperuniformity of the hierarchical Coulomb gas in all dimensions, Rigidity of the three-dimensional hierarchical Coulomb gas, Renormalization group flow of a hierarchical sine-Gordon model by partial differential equations, A renormalization group analysis of the Kosterlitz-Thouless phase

Cites Work

• On the massive sine-Gordon equation in the higher regions of collapse
• On the massive sine-Gordon equation in all regions of collapse
• Ultraviolet stability in Euclidean scalar field theories
• On the massive sine-Gordon equation in the first few regions of collapse
• Some probabilistic techniques in field theory
• Unnamed Item
• Unnamed Item