Pith. sign in

REVIEW 12 cited by

No-go Theorem for Cosmological Parity Violation

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2501.06383 v2 pith:HRYQPLZW submitted 2025-01-10 hep-th astro-ph.COgr-qc

classification hep-thastro-ph.COgr-qc
keywords masslessevenfieldsinflationintegerparity-violationspin-theorem
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

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.

Discussion (0). Sign in to comment.

Forward citations

Cited by 12 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Kontorovich-Lebedev-Fourier Space for de Sitter Correlators

    hep-th 2026-04 unverdicted novelty 8.0 of 10

    A Kontorovich-Lebedev-Fourier space is built for (d+1)-dimensional de Sitter correlators from the Casimir operator of SO(1,d+1), producing rational propagators and Feynman rules that turn tree and loop diagrams into s...

  2. Unitary and Analytic Renormalisation of Cosmological Correlators

    hep-th 2025-09 unverdicted novelty 7.0 of 10

    Different dimensional regularization schemes agree with each other and with unitarity; new analytic eta regulators simplify the work and fix the imaginary part of one-loop coefficients by the logarithmic running of th...

  3. Probing Parity Violation with Weak Lensing Trispectrum

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    A parity-odd weak lensing convergence trispectrum is derived and forecast to be detectable with DES Y3/LSST Y10-like surveys under optimistic template amplitudes.

  4. Correlators are simpler than wavefunctions

    hep-th 2025-12 conditional novelty 6.0 of 10

    Equal-time correlators are simpler than wavefunctions because they come from full-spacetime integrals; this implies fewer poles, cleaner factorization, and a systematic pole expansion whose first subleading term vanishes.

  5. Measurement of Parity-Violating Modes of the Dark Energy Spectroscopic Instrument (DESI) Year 1 Luminous Red Galaxies' 4-Point Correlation Function

    astro-ph.CO 2025-08 conditional novelty 6.0 of 10

    DESI's first parity-violation search shows a strong auto-correlation signal that disappears when the sky is split into patches, pointing to underestimated mocks' variance rather than new physics.

  6. Theoretical and Observational Bounds on Dynamical Chern-Simons Gravity as an Effective Field Theory

    hep-th 2026-04 unverdicted novelty 5.0 of 10

    Dynamical Chern-Simons gravity is bounded by causality and perturbativity to produce only tiny corrections on macroscopic gravitational systems.

  7. Theoretical and Observational Bounds on Dynamical Chern-Simons Gravity as an Effective Field Theory

    hep-th 2026-04 conditional novelty 5.0 of 10

    Causality from Shapiro delay and UV species/perturbativity bounds force the dynamical Chern-Simons coupling to be tiny for macroscopic gravitational systems.

  8. Efficient training of photonic quantum generative models

    quant-ph 2026-03 unverdicted novelty 5.0 of 10

    Photonic quantum generative models can be trained classically via maximum mean discrepancy, with deployment corresponding to boson sampling.

  9. Correlators are simpler than wavefunctions

    hep-th 2025-12 unverdicted novelty 5.0 of 10

    Equal-time correlators are simpler than wavefunctions because full-spacetime integration of propagators eliminates certain poles and yields a vanishing first subleading term in every Laurent expansion around poles.

  10. A Match Made in Heaven: Linking Observables in Inflationary Cosmology

    hep-th 2025-05 unverdicted novelty 5.0 of 10

    In dynamical Chern-Simons inflation the parity-odd trispectrum is a double copy of the mixed bispectrum and parity-odd power spectrum via a prior factorization formula.

  11. Chern-Simons gravitational term coupled to a spectator field

    astro-ph.CO 2025-01 unverdicted novelty 5.0 of 10

    Coupling Chern-Simons gravity to a spectator field in multi-field inflation generates distinctive parity-odd scalar-tensor bispectra with perturbativity bounds on the couplings.

  12. EFT Perspective On de-Sitter S-Matrix

    hep-th 2026-01 conditional novelty 3.0 of 10

    In a carefully chosen limit, the de Sitter scattering amplitude is written as an integral transform of the flat-space amplitude, and requiring energy conservation on exceptional de Sitter scalars reproduces DBI and Sp...

Pith tools