Supergeometric Approach to Quantum Field Theory
High Energy Physics - Theory
2024-04-23 v1 High Energy Physics - Phenomenology
Abstract
We review a recently proposed SuperGeometric (SG) approach to Quantum Field Theories (QFTs) that allow for scalar-fermion field transformations in a manifestly reparameterisation covariant manner. By adopting natural choices for the field-space supermetric, we show how a non-trivial field-space Riemannian curvature can be introduced in the fermionic sector, beyond the usual one that may have its origin in the scalar part of the theory. We present a minimal SG-QFT model with proper non-zero fermionic curvature both in two and four spacetime dimensions. Possible future directions in further developing SG-QFTs are discussed.
Cite
@article{arxiv.2404.13107,
title = {Supergeometric Approach to Quantum Field Theory},
author = {Viola Gattus and Apostolos Pilaftsis},
journal= {arXiv preprint arXiv:2404.13107},
year = {2024}
}
Comments
13 pages, Proceedings to Corfu Summer Institute 2023 (27 August - 1 October 2023, Corfu, Greece)