Supergeometric Approach to Quantum Field Theory
arxiv(2024)
摘要
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.
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