Quark Condensate In The Strange Matter

In quantum chromodynamics(QCD),vacuum is not trivial,that is,vacuum carry quantum numbers.Such a behavior is embodied by non-perturbative con-densates of quarks and gluons.Since hadrons are excitations with respect to the vacuum,hadronic properties are ultimately related to properties of the vacuum.Based on the vacuum structure,some hadron properties have been described well.In the low energy region,QCD has two very important proper-ties:chiral symmetry spontaneous breaking and confinement,which are closely related to the vacuum characteristics of QCD.Much experiments and theoretical studies have shown that chiral symmetry spontaneous breaking is very important to understand the low-energy feature of the strongly interacting physics,and the quark condensates give an expression to chiral symmetry spontaneous breaking.According to Goldstone's theorem,the Goldstone bosons with zero mass will emerge as the chiral symmetry is spontaneously broken.there are two ways: inear and non-linear methods to carry out this constraint.In our paper,we will use the non-linear method.There has been many papers to discuss the in-medium quark and gluon condensates in nuclear matter which use the models with SU(2)L SU(2)R sym-metry.Now ,we make use of the chiral model SU(3)L SU(3)n including the baryon octet to discuss the quark condensate in strange matter,where q is an up or down quark field.On the one hand,from the experimetal data,it is found that vac = -(225 25Mev)3,on the other hand,with the Hellmann-Feynman theorem,quark condensate can be evaluated on the hadronic level.Inthis paper,we will investigate the quark condensate in strange matter with the chiral symmetry SU(3)L x SU(3)Rspontaneous breaking Lagrangian to obtain the variation of the quark condensate in the strange matter when the baryon number change.It can be applied to understand the neutron stars when the neutron star are considered to be constructed by the strange matter.Because nertron stars are homogeneous and at very low temperature,we will use the mean-field approximation and zero temperature throughout this paper.The results show that the chiral symmetry is restored partially when the strange matter density increases and 2 plays a very important role in the strange matter which may approach the constituents of the neutron stars.In additions,we can find that the strange matter density where the -condensate emerges is led to the ratio of the nucleon number to baryon number.And the occurrence of -condensate is only in certain density and gradually increases for higher density,so we guess that -field may be necessary to carefully consider for studying the neutron stars.