One-loop renormalization in curved spacetimes using the background-field method

Abstract

The renormalizations of various systems in curved spacetimes are discussed. The one-loop counterterm formula for ultraviolet divergence including fermion fields is obtained. By using them, we systematically discuss the renormalizability of the pure Yang-Mills field, quantum electrodynamics, and the Yang-Mills field interacting with fermion fields in general curved spacetimes.