Chiral symmetry breaking, color superconductivity, and equation of state for magnetized strange quark matter

Aman Abhishek,Hiranmaya Mishra

doi:10.1103/physrevd.99.054016

Abstract

We investigate the vacuum structure of dense quark matter in strong magnetic fields at finite temperature and densities in a 3 flavor Nambu Jona Lasinio (NJL) model including the Kobayashi-Maskawa-t'Hooft (KMT) determinant term using a variational method. The method uses an explicit structure for the `ground' state in terms of quark-antiquark condensates as well as diquark condensates. The mass gap equations and the superconducting gap equations are solved self consistently and are used to compute the thermodynamic potential along with the charge neutrality conditions. We also derive the equation of state for the charge neutral strange quark matter in the presence of strong magnetic fields which could be relevant for neutron stars.

Highlights

The structure of vacuum in quantum chromodynamics (QCD) and its modification under extreme environment has been a major theoretical and experimental challenge in current physics [1]
We investigate the vacuum structure of dense quark matter in strong magnetic fields in a three-flavor Nambu Jona Lasinio (NJL) model including the Kobayashi-Maskawa-t’Hooft (KMT) determinant term using a variational method
This is important from a theoretical point of view, and for many applications to problems of quark-gluon plasma (QGP) that could be copiously produced in relativistic heavy ion collisions as well as for the ultradense cold nuclear/quark matter which could be present in the interior of compact stellar objects like neutron stars

Summary

Introduction

The structure of vacuum in quantum chromodynamics (QCD) and its modification under extreme environment has been a major theoretical and experimental challenge in current physics [1]. It is interesting to study the modification of the structure of ground state at high temperature and/or high baryon densities as related to the nonperturbative aspects of QCD This is important from a theoretical point of view, and for many applications to problems of quark-gluon plasma (QGP) that could be copiously produced in relativistic heavy ion collisions as well as for the ultradense cold nuclear/quark matter which could be present in the interior of compact stellar objects like neutron stars. In addition to hot and dense QCD, the effect of strong magnetic field on QCD vacuum structure has attracted recent attention. This is motivated by the possibility of creating ultrastrong magnetic fields in noncentral collisions at RHIC and LHC.

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Conclusion