3-form dark energy and cosmic birefringence

arXiv:2608.05296 · astro-ph.CO, gr-qc, hep-th · Submitted 2026-08-05 · Read on arXiv

Kohei Kamada, Tucker Manton

astro-ph.CO, gr-qc, hep-th

Submitted: 2026-08-05

Comments: 15 pages, 3 figures

License: http://creativecommons.org/licenses/by/4.0/

The gist: 3-forms are interesting fields to study in the cosmological context for numerous reasons, such as being candidates for explaining inflation and dark energy.

Terminology

Abstract

3-forms are interesting fields to study in the cosmological context for numerous reasons, such as being candidates for explaining inflation and dark energy. The background evolution of a 3-form field is similar to but distinguishable from a scalar field in an expanding universe, and its tensorial structure allows for unique couplings that cannot be experienced by canonical scalars. In this work, we explore the possibility that 3-form dark energy can explain cosmic birefringence. We consider two EFT-inspired couplings between the 3-form and the photon, and compute the birefringence angle beta. We find that a dimension-6 gauge-invariant operator necessitates an extremely large coupling to explain beta about0.3, the value suggested by observations of recent cosmic microwave background radiation. Conversely, a dimension-4 operator can accommodate beta about0.3 at the expense exciting the longitudinal mode of the photon. Interestingly, demanding a self-consistent decoupling limit implies the photon mass lies within a few orders of magnitude of H 0. We also derive `universal' profiles for beta(z), finding the beta from the dimension-4 operator is insensitive to the form of the 3-form potential but is sensitive to the initial conditions. Contrarily, the dimension-6 operator is highly sensitive to the form of the potential. We finally compare the universal profiles to that of axion-like particle (ALP) dark energy and an ultralight massive 3-form, the latter obtained from numerically integrated cosmological histories consistent with CDM up to low redshift. Our results show that birefringence from 3-form dark energy can both mimic that from an ALP or be distinguishable, depending on the field configuration in the early universe.

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