Interacting Quantum Fields in Curved Space: Renormalizability of $φ^4$

Abstract

We present a perturbative construction of the $φ^4$ model on a smooth globally hyperbolic space-time. Our method relies on a adaptation of the Epstein and Glaser method of renormalization to curved space-times using techniques from microlocal analysis.

AMSTeX, 18 pages, to be published on the proceedings of the conference `Operator Algebras and Quantum Field Theory` held at Accademia Nazionale dei Lincei, Rome, Italy, July 1996