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arXiv:2606.12580

Scalar Quantum Fields: Theory Space and its Geometry

Viola Gattus, Peter Millington

hep-thmath-phquant-phSubmitted Jun 10, 2026• Announced Jun 12, 2026
arXivHTMLPDF

Abstract

Scalar fields provide perhaps the simplest playground in which to develop our understanding of quantum field theory. In this lecture, we consider what it means to write down a scalar quantum field theory and how we can give geometrical interpretations to the space of such theories: the theory space.
Comments
27 pages, 5 figures, 1 table; author-prepared initial draft of chapter for forthcoming combined volume Comprehensive Quantum Physics; based on lectures delivered by one of the authors at BUSSTEPP 2025, University of Nottingham; comments welcome

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