Quantifying scalar field dynamics with DESI 2024 Y1 BAO measurements

Quintessence scalar fields are a natural candidate for evolving dark energy. Unlike the phenomenological ${w}_{0}{w}_{a}$ parameterization of the dark energy equation of state, they cannot accommodate the phantom regime of dark energy $w(z)<\ensuremath{-}1$, or crossings into the phantom regime. Recent baryon acoustic oscillation (BAO) measurements by the Dark Energy Spectroscopic Instrument (DESI) indicate a preference for evolving dark energy over a cosmological constant, ranging from $2.6\ensuremath{\sigma}\ensuremath{-}3.9\ensuremath{\sigma}$ when fitting to ${w}_{0}{w}_{a}$, and combining the DESI BAO measurements with other cosmological probes. In this work, we directly fit three simple scalar field models to the DESI BAO data, combined with cosmic microwave background anisotropy measurements and supernova datasets. We find the best fit model to include a 2--4% kinetic scalar field energy ${\mathrm{\ensuremath{\Omega}}}_{\mathrm{scf},\mathrm{k}}$, for a canonical scalar field with a quadratic or linear potential. However, only the DESY-Y5 supernova dataset combination shows a preference for quintessence over $\mathrm{\ensuremath{\Lambda}}$ cold dark matter (CDM) at the 95% confidence level. Fitting to the supernova datasets Pantheon, Pantheon+, DES-Y5, and Union3, we show that the mild tension (${n}_{\ensuremath{\sigma}}<3.4$) under $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$ emerges from a BAO preference for smaller values of fractional mass-energy density ${\mathrm{\ensuremath{\Omega}}}_{m}<0.29$, while all supernova datasets, except for Pantheon, prefer larger values, ${\mathrm{\ensuremath{\Omega}}}_{m}>0.3$. The tension under $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$ remains noticeable (${n}_{\ensuremath{\sigma}}<2.8$), when replacing two of the DESI BAO redshift bins with effective redshifts ${z}_{\mathrm{eff}}=0.51$, and ${z}_{\mathrm{eff}}=0.706$ with comparable BOSS DR 12 BAO measurements at ${z}_{\mathrm{eff}}=0.51$, and ${z}_{\mathrm{eff}}=0.61$. Canonical scalar fields as dark energy are successful in mitigating that tension.