Quantum Field Theory in a Multi-Metric Background

Abstract

By means of simple models in a flat spacetime manifold we examine some of the issues that arise when quantizing interacting quantum fields in multi-metric backgrounds. In particular we investigate the maintenance of a causal structure in the models. In this context we introduce and explain the relevance of an interpolating metric that is a superposition of the individual metrics in the models. We study the renormalisation of a model with quartic interactions and elucidate the structure of the renormalisation group and its implications for Lorentz symmetry breakdown.

41 pages, 7 figures

References in corpus (5)

• Bimetric Gravity from Ghost-free Massive Gravity
• Bimetric MOND gravity
• Analysis of the consistency of parity-odd nonbirefringent modified Maxwell theory
• The Refractive Index of Curved Spacetime: the Fate of Causality in QED
• The Unbearable Beingness of Light, Dressing and Undressing Photons in Black Hole Spacetimes

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