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.
open access link
@inproceedings{Brunetti:1997ye, author = "Brunetti, R. and Fredenhagen, K.", title = "{Interacting quantum fields in curved space: Renormalizability of phi**4}", booktitle = "{Conference on Operator Algebras and Quantum Field Theory Rome, Italy, July 1-6, 1996}", year = "1997", eprint = "gr-qc/9701048", archivePrefix = "arXiv", primaryClass = "gr-qc", reportNumber = "DESY-97-005", SLACcitation = "%%CITATION = GR-QC/9701048;%%" }

QFT on curved spacetimes, renormalization, perturbation theory