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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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AMSTeX, 18 pages, to be published on the proceedings of the conference `Operator Algebras and Quantum Field Theory` held at Ac

Scientific paper

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.

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