The Renormalization Group According to Balaban - III. Convergence

Abstract

This is an expository account of Balaban's approach to the renormalization group. The method is illustrated with a treatment of the ultraviolet problem for the scalar phi^4 model on a toroidal lattice in dimension d=3. In this third paper we demonstrate convergence of the expansion and complete the proof of a stability bound.

37 pages

References in corpus (2)

• The Renormalization Group According to Balaban - I. Small fields
• The Renormalization Group According to Balaban - II. Large fields

Cited by in corpus (13)

• Hamiltonian Renormalisation I: Derivation from Osterwalder-Schrader Reconstruction
• Action principle for OPE
• Hamiltonian Renormalisation IV. Renormalisation Flow of D+1 dimensional free scalar fields and Rotation Invariance
• The Renormalization Group According to Balaban - II. Large fields
• Snowmass White Paper: The Quest to Define QFT
• Canonical quantization of 1+1-dimensional Yang-Mills theory: An operator-algebraic approach
• Nonperturbative renormalization of scalar QED in d=3
• Stability for QED in d=3: an overview
• Construction of a non-Gaussian and rotation-invariant ${\Phi }^4$-measure and associated flow on ${\mathbb{R}}^3$ through stochastic quantization
• Ultraviolet Stability for QED in d=3
• Multiscale block averaging for QED in d=3
• Ultraviolet regularity for QED in d=3
• Asymptotics for Some Logistic Maps and the Renormalization Group