Abstract

In this work, we present a calculation of the non-Fermi liquid correction to the specific heat of magnetized degenerate quark matter present at the core of the neutron star. The role of non-Fermi liquid corrections to the neutrino emissivity has been calculated beyond leading order. We extend our result to the evaluation of the pulsar kick velocity and cooling of the star due to such anomalous corrections and present a comparison with the simple Fermi liquid case.

Highlights

  • One of the fundamental aims of high energy physics is to study the properties of matter under extreme conditions i.e. in the domain of high temperature or high density where the hadrons are expected to melt into a plasma of quarks and gluons

  • This non-Fermi liquid (NFL) behavior is manifested in the expression of mean free path (MFP), emissivity of neutrinos and specific heat of degenerate quark matter[1, 4,5,6]

  • We investigate non-Fermi liquid(NFL) behavior at next to leading order (NLO) that enters into the emissivity of the neutrinos from the neutron star (NS) composed of degenerate quark matter core

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Summary

Introduction

One of the fundamental aims of high energy physics is to study the properties of matter under extreme conditions i.e. in the domain of high temperature or high density where the hadrons are expected to melt into a plasma of quarks and gluons. It has been seen that for the case of relativistic ultradegenerate plasma, in the vicinity of the Fermi surface, unscreened magnetostatic interactions lead to a logarithmic singularity in the inverse group velocity where the FL picture is no longer applicable [3] This non-Fermi liquid (NFL) behavior is manifested in the expression of mean free path (MFP), emissivity of neutrinos and specific heat of degenerate quark matter[1, 4,5,6]. We investigate non-Fermi liquid(NFL) behavior at NLO that enters into the emissivity of the neutrinos from the NS composed of degenerate quark matter core Such calculation was first done in Ref.[8] where the author studied only the Fermi liquid(FL) case.

Formalism
Bqcr 400MeV 1MeV 10km MNS
Results and discussions
Summary and discussions
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