No-go Theorem for Cosmological Parity Violation
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arXiv
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| Format: | Preprint |
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2025
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| author | Thavanesan, Ayngaran |
| author_facet | Thavanesan, Ayngaran |
| contents | A no-go theorem for parity-violation in even $D$-dimensional spacetimes invariant under $ISO(d)$ and dilatations (as well as the implications for odd $D$) is derived. For the case of real massless scalar and gravitons (as well as any massless even integer spin-$s$ field) at $\mathcal{I}^+$, the reality of wavefunction coefficients in Fourier space to all orders in perturbation theory (any order in loops) coming from a local, unitary, IR- and UV-finite theory, which start from the initial \CRT-invariant Bunch-Davies state in the infinite past, is proven. From this it is inferred that a parity-odd correlator with any massless scalar fields and even integer spin-$s$ fields vanishes in the presence of any number of interactions of massless fields. The same is true for correlators with an even number of conformally-coupled and massless odd integer spin-$s$ external fields, which is used to derive the cosmological analogue of Furry's theorem. The fundamental implications of \CRT symmetry for theories with chemical potentials, such as Chern-Simons and Axion inflation, is also discussed. Given the recent interest in parity-violation coming from observational claims of parity-violation detection, these results provide clear constraints on parity-violating models of inflation and establish the measurement of any parity-odd correlator as an exceptionally sensitive probe of new physics beyond vanilla inflation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_06383 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | No-go Theorem for Cosmological Parity Violation Thavanesan, Ayngaran High Energy Physics - Theory Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology A no-go theorem for parity-violation in even $D$-dimensional spacetimes invariant under $ISO(d)$ and dilatations (as well as the implications for odd $D$) is derived. For the case of real massless scalar and gravitons (as well as any massless even integer spin-$s$ field) at $\mathcal{I}^+$, the reality of wavefunction coefficients in Fourier space to all orders in perturbation theory (any order in loops) coming from a local, unitary, IR- and UV-finite theory, which start from the initial \CRT-invariant Bunch-Davies state in the infinite past, is proven. From this it is inferred that a parity-odd correlator with any massless scalar fields and even integer spin-$s$ fields vanishes in the presence of any number of interactions of massless fields. The same is true for correlators with an even number of conformally-coupled and massless odd integer spin-$s$ external fields, which is used to derive the cosmological analogue of Furry's theorem. The fundamental implications of \CRT symmetry for theories with chemical potentials, such as Chern-Simons and Axion inflation, is also discussed. Given the recent interest in parity-violation coming from observational claims of parity-violation detection, these results provide clear constraints on parity-violating models of inflation and establish the measurement of any parity-odd correlator as an exceptionally sensitive probe of new physics beyond vanilla inflation. |
| title | No-go Theorem for Cosmological Parity Violation |
| topic | High Energy Physics - Theory Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2501.06383 |