Scalar Quantum Fields: Theory Space and its Geometry
arXiv:2606.12580
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.
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