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Finite-temperature infinite matter is analyzed with the recently introducedeffective-fieldtheory(EFT)-inspired YGLO (Yang-Grasso-Lacroix-Orsay) and ELYO(extended Lee-Yang, Orsay) functionals, which are designed to describe verylow-density regimes in symmetric (YGLO) and in pure neutron (YGLO and ELYO)matter. The article deals with neutron matter and aims to verify whether theuse of these functionals allows us to correctly incorporate finite-temperatureeffects. We compare our results for some relevant thermodynamical quantitieswith the corresponding ones computed with a chosen reference ab-initio model,namely the many-body-perturbation-theory scheme. We validate the reliability ofboth EFT-inspired functionals at least at rather low densities and not too hightemperatures and we discuss the effects related to the effective mass. Weconclude that, at the present stage, the ELYO functional, having a higherneutron effective mass around saturation (closer to ab-initio values), allowsus to describe finite-temperature properties more satisfactorily, in betteragreement with ab-initio predictions up to higher densities and temperatures,compared to YGLO.

Finite-temperature infinite matter with effective-field-theory-inspired energy-density functionals