Abstract
We generalize the state-of-the-art perturbative equation of state of cold quark matter to nonzero temperatures, needed in the description of neutron star mergers and core collapse processes. The new result is accurate to O(g^{5}) in the gauge coupling, and is based on a novel framework for dealing with the infrared sensitive soft field modes of the theory. The zero Matsubara mode sector is treated via a dimensionally reduced effective theory, while the soft nonzero modes are resummed using the hard thermal loop approximation. This combination of known effective descriptions offers unprecedented access to small but nonzero temperatures, both in and out of beta equilibrium.
Highlights
Introduction.—The recent discovery of gravitational waves emitted by two merging black holes by the LIGO and Virgo collaborations has opened up a new observational window in astrophysics [1]
This would lead to a wealth of new information about the properties of neutron stars and the matter they are composed of [2], highlighting the need to understand the material properties of dense nuclear matter from its microscopic description
Figuring out the properties of dense nuclear and quark matter is a notoriously difficult task, as it necessitates a nonperturbative treatment of the theory of strong interactions, QCD, at large baryon chemical potentials μB [3]
Summary
We generalize the state-of-the-art perturbative equation of state of cold quark matter to nonzero temperatures, needed in the description of neutron star mergers and core collapse processes. The zero Matsubara mode sector is treated via a dimensionally reduced effective theory, while the soft nonzero modes are resummed using the hard thermal loop approximation. This combination of known effective descriptions offers unprecedented access to small but nonzero temperatures, both in and out of beta equilibrium. In the near future, a similar signal will be detected from the merger of two neutron stars or a neutron star and a black hole, or from a supernova explosion This would lead to a wealth of new information about the properties of neutron stars and the matter they are composed of [2], highlighting the need to understand the material properties of dense nuclear matter from its microscopic description. This quantity has the parametric order of the inmedium screening mass, m2E
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