The Renormalization Group According to Balaban III. Convergence

J. Dimock

doi:10.1007/s00023-013-0303-3

The Renormalization Group According to Balaban III. Convergence

J. Dimock

Mathematics

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14 Scopus citations

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 φ⁴ 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.

Original language	English
Pages (from-to)	2133-2175
Number of pages	43
Journal	Annales Henri Poincare
Volume	15
Issue number	11
DOIs	https://doi.org/10.1007/s00023-013-0303-3
State	Published - Oct 15 2014

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abstract = "This is an expository account of Balaban{\textquoteright}s approach to the renormalization group. The method is illustrated with a treatment of the ultraviolet problem for the scalar φ4 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.",

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AB - 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 φ4 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.

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The Renormalization Group According to Balaban III. Convergence

Abstract

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