The short distance behavior of \((\Phi^ 4_ 3)\)

DOI10.1007/BF02104514zbMath0858.60095OpenAlexW1981428560MaRDI QIDQ1912595

T. R. Hurd, David C. Brydges, Jonathan Dimock

Publication date: 4 June 1996

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

Full work available at URL: https://doi.org/10.1007/bf02104514

zbMATH Keywords

quantum field theoryrenormalization grouppolymer expansionsspanning tree argumentstability of the generating functional

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Quantum field theory on lattices (81T25) Renormalization group methods applied to problems in quantum field theory (81T17) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (16)

A renormalization group method by harmonic extensions and the classical dipole gas ⋮ Clustering bounds on \(n\)-point correlations for unbounded spin systems ⋮ Phase transitions for \(\phi^4_3\) ⋮ Critical exponent for the magnetization of the weakly coupled \(\phi_4^4\) model ⋮ Stochastic quantization, reflection positivity, and quantum fields ⋮ An SPDE approach to perturbation theory of \(\Phi_2^4\): asymptoticity and short distance behavior ⋮ Concentration estimates for slowly time-dependent singular SPDEs on the two-dimensional torus ⋮ A variational method for \(\Phi^4_3\) ⋮ The renormalization group according to Balaban. III: Convergence ⋮ Quantum diffusion of the random Schrödinger evolution in the scaling limit ⋮ A PDE construction of the Euclidean \(\Phi^4_3\) quantum field theory ⋮ RENORMALIZATION GROUP METHODS IN CONSTRUCTIVE FIELD THEORIES ⋮ Towards three-dimensional conformal probability ⋮ A simple method for correlation functions via the effective actions in the renormalization group framework ⋮ THE RENORMALIZATION GROUP ACCORDING TO BALABAN, I. SMALL FIELDS ⋮ A renormalisation group method. IV. Stability analysis

Cites Work

• Unnamed Item
• A renormalization group analysis of the Kosterlitz-Thouless phase
• Grad \(\phi\) perturbations of massless Gaussian fields
• A renormalizable field theory: The massive Gross-Neveu model in two dimensions
• Ultraviolet stability in Euclidean scalar field theories
• A renormalization group analysis of correlation functions for the dipole gas
• Construction of \(Y M_ 4\) with an infrared cutoff
• Construction of the two-dimensional sine-Gordon model for \(\beta < 8\pi\)

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