Locally covariant charged fields and background independence

Abstract

We discuss gauge background independence at the example of the charged Dirac field. We show that a perturbative version of background independence, termed perturbative agreement by Hollands and Wald, can be fulfilled, and discuss some of its consequences.

35 pages; v2: Prop. 2.10, Lemma 2.12 and typos corrected

References in corpus (3)

• Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory
• Removal of violations of the Master Ward Identity in perturbative QFT
• The renormalized locally covariant Dirac field

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