Testing the Field Correlator Method with astrophysical constraints

TL;DR

This paper evaluates the Field Correlator Method for modeling hybrid stars, using astrophysical data to constrain key parameters like the gluon condensate and quark potential, thereby testing the method's validity.

Contribution

It extends the Field Correlator Method to zero temperature and compares hybrid star models with neutron star observations to constrain fundamental QCD parameters.

Findings

Constraints on gluon condensate values from neutron star data

Limits on the static Q̄Q potential based on astrophysical observations

Validation of the FCM approach for hybrid star modeling

Abstract

We study the structure of hybrid stars with the Field Correlator Method, extended to the zero temperature limit, for the quark phase. For the hadronic phase, we use the microscopic Brueckner-Hartree- Fock many-body theory. The comparison with the neutron star mass phenomenology puts serious constraints on the currently adopted values of the gluon condensate $G_2 \simeq 0.006-0.007 \rm {GeV^4}$, and the large distance static $Q \bar Q$ potential.