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Scalar Quantum Fields: Theory Space and its Geometry
Viola Gattus, Peter Millington
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 scal…
Supergeometric Quantum Effective Action
Viola Gattus, Apostolos Pilaftsis
Supergeometric Quantum Field Theories (SG-QFTs) are theories that go beyond the standard supersymmetric framework, since they allow for general scalar-fermion field transformations…
Supergeometric Approach to Quantum Field Theory
Viola Gattus, Apostolos Pilaftsis
We review a recently proposed SuperGeometric (SG) approach to Quantum Field Theories (QFTs) that allow for scalar-fermion field transformations in a manifestly reparameterisation c…
Minimal Supergeometric Quantum Field Theories
Viola Gattus, Apostolos Pilaftsis
We formulate minimal SuperGeometric Quantum Field Theories (SG-QFTs) that allow for scalar-fermion field transformations in a manifestly reparameterisation covariant manner. First,…
Geometrising the Micro-Cosmos on a Supermanifold
Kieran Finn, Viola Gattus, Sotirios Karamitsos +1
For more than half a century, covariant and differential geometric methods have been playing a central role in the development of Quantum Field Theory (QFT). After a brief historic…