# Interacting Quantum Fields in Curved Space: Renormalizability of $\varphi^4$

Romeo Brunetti, Klaus Fredenhagen
January 21, 1997
We present a perturbative construction of the $\varphi^4$ 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.

Keywords:
QFT on curved spacetimes, renormalization, perturbation theory