We review the issue of Borel summability in the framework of multiscale analysis and renormalization group, by discussing a proof of Borel summability of the Φ44 massive Euclidean planar theory; this result is not new, since it was obtained by Rivasseau and 't Hooft. However, the techniques that we use have already been proved effective in the analysis of various models of consended matter and field theory; therefore, we take the Φ44 planar theory as a toy model for future applications. © 2010 World Scientific Publishing Company.

Borel summability of Φ4 4 planar theory via multiscale analysis / Porta, M; Simonella, S. - In: REVIEWS IN MATHEMATICAL PHYSICS. - ISSN 0129-055X. - 22:9(2010), pp. 995-1032. [10.1142/S0129055X10004120]

Borel summability of Φ4 4 planar theory via multiscale analysis

Porta M
;
2010-01-01

Abstract

We review the issue of Borel summability in the framework of multiscale analysis and renormalization group, by discussing a proof of Borel summability of the Φ44 massive Euclidean planar theory; this result is not new, since it was obtained by Rivasseau and 't Hooft. However, the techniques that we use have already been proved effective in the analysis of various models of consended matter and field theory; therefore, we take the Φ44 planar theory as a toy model for future applications. © 2010 World Scientific Publishing Company.
22
9
995
1032
https://arxiv.org/abs/1002.2221
Porta, M; Simonella, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/122491
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