Scalar correlators and normal modes in holographic neutron stars

TL;DR

This paper investigates scalar field behavior in holographic neutron star backgrounds to understand boundary correlators, revealing how normal modes influence boundary theory resonances and decay, especially across stable and unstable phases.

Contribution

It introduces a method to compute boundary two-point correlators from scalar normal modes in holographic neutron star backgrounds, highlighting phase-dependent behaviors.

Findings

Correlators are dominated by normal modes in stable regions.

Power-law behavior emerges in unstable zones.

Normal modes determine boundary resonances and decay constants.

Abstract

We study a scalar field in the background of a holographic neutron star at finite temperature and analyze its asymptotic behavior to compute the two-point correlator at the boundary. From the normal modes of the field we determine the resonances and decay constants of the boundary field theory. We show that the correlator is dominated by the normal modes in the stable regions of phase space of the neutron star, becoming a power law as we move into the unstable zones.