English

Note on the Intermediate Field Representation of Phi^2k Theory in Zero Dimension

Mathematical Physics 2016-12-26 v3 math.MP

Abstract

This expanded version corrects some misprints of the first version, details completely the poof of Borel-Leroy summability and for k=3k=3 in the complex case provides a new improved representation which relies on ordinary convergent Gaussian integrals rather than oscillatory integrals.

Keywords

Cite

@article{arxiv.1601.02805,
  title  = {Note on the Intermediate Field Representation of Phi^2k Theory in Zero Dimension},
  author = {Luca Lionni and Vincent Rivasseau},
  journal= {arXiv preprint arXiv:1601.02805},
  year   = {2016}
}

Comments

20 pages, 1 figure

R2 v1 2026-06-22T12:27:41.181Z