The renormalization group according to Balaban, I. Small fields

J. Dimock

doi:10.1142/S0129055X13300100

The renormalization group according to Balaban, I. Small fields

J. Dimock

Mathematics

Research output: Contribution to journal › Review article › peer-review

27 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 toroidal lattice in dimension d = 3. This yields another proof of the stability bound. In this first paper we analyze the small field contribution to the partition function.

Original language	English
Article number	1330010
Journal	Reviews in Mathematical Physics
Volume	25
Issue number	7
DOIs	https://doi.org/10.1142/S0129055X13300100
State	Published - Aug 2013

Keywords

Renormalization group

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10.1142/S0129055X13300100

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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 toroidal lattice in dimension d = 3. This yields another proof of the stability bound. In this first paper we analyze the small field contribution to the partition function.",

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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 toroidal lattice in dimension d = 3. This yields another proof of the stability bound. In this first paper we analyze the small field contribution to the partition function.

KW - Renormalization group

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DO - 10.1142/S0129055X13300100

M3 - Review article

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JO - Reviews in Mathematical Physics

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The renormalization group according to Balaban, I. Small fields

Abstract

Keywords

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