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

Abstract

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

20 pages, 1 figure

References in corpus (1)

• Constructive ${\varphi }^4$ field theory without tears

Cited by in corpus (2)

• Constructive Tensor Field Theory
• Colored discrete spaces: higher dimensional combinatorial maps and quantum gravity