Supergeometric Approach to Quantum Field Theory
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929321606643712 |
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| author | Gattus, Viola Pilaftsis, Apostolos |
| author_facet | Gattus, Viola Pilaftsis, Apostolos |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13107 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Supergeometric Approach to Quantum Field Theory Gattus, Viola Pilaftsis, Apostolos High Energy Physics - Theory High Energy Physics - Phenomenology 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. |
| title | Supergeometric Approach to Quantum Field Theory |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2404.13107 |