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Abstract: Ultra strong magnetic field could be there in the interior of neutron stars.
Strong magnetic field can also be produced in
heavy ion collision experiments. I will discuss chiral symmetry breaking in hot and dense quark matter in presence
of strong magnetic field within the ambit of Nambu Jona Lasinio model. While magnetic catalysis of chiral symmetry breaking is expected for hot matter, inverse magnetic catalysis for chiral symmetry breaking is expected at finite chemical potential. The equation of state for strange quark matter is derived within the model. The effect of pressureanisotropy of dense quark matter in presence of magnetic field in the gross structural properties of neutron stars will also be discussed. |