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