FM 6-2010 (arXiv:1002.2221)

Authors: Marcello Porta, Sergio Simonella

Title: Borel summability of φ44 planar theory via multiscale analysis
 
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 has already been established 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.

Keywords: Borel summability, φ44 theory, renormalization group.

Marcello Porta,
Dipartimento di Fisica,
Universita' di Roma "La Sapienza",
Piazzale Aldo Moro 5, 00185 Roma, Italy
marcello.porta@roma1.infn.it

Sergio Simonella,
Dipartimento di Matematica,
Universita' di Roma "La Sapienza",
Piazzale Aldo Moro 5, 00185 Roma, Italy
simonella@mat.uniroma1.it