Perturbation theory and nonrenormalizable scalar fields

DOI10.1007/BF01221647zbMath0595.58048MaRDI QIDQ1077788

Giovanni Gallavotti, Giovanni Felder

Publication date: 1985

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

zbMATH Keywords

perturbation theorySchwinger functionsformal power seriesform factorseffective potentialsnonrenormalizable interactionsnonrenormalizable scalar fields

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of PDEs on manifolds (58J90) General mathematical topics and methods in quantum theory (81Q99)

Related Items (5)

A renormalizable field theory: The massive Gross-Neveu model in two dimensions ⋮ Beta function and anomaly of the Fermi surface for a \(d=1\) system of interacting fermions in a periodic potential ⋮ The Sine-Gordon field theory model at \(\alpha ^ 2=8\pi\), the non- superrenormalizable theory ⋮ Perturbation theory of the Fermi surface in a quantum liquid. A general quasiparticle formalism and one-dimensional systems ⋮ Beta function and Schwinger functions for a many fermions system in one dimension. Anomaly of the Fermi surface

Cites Work

• Geometric analysis of \(\phi^ 4\) fields and Ising models. I, II

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