Patterns of Symmetry Breaking in QCD at High Baryon Density

Patterns of Symmetry Breaking in QCD at High Baryon Density
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DOI:
10.1016/s0550-3213(00)00063-8
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发表时间:
1999-09
期刊:
Nuclear Physics
影响因子:
--
通讯作者:
T. Schaefer
T. Schaefer
中科院分区:
其他
文献类型:
--
作者:
T. Schaefer

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我们研究了在非常大的重子密度下的QCD的结构。我们提供的证据表明,对于任何数量的大于Nf=2的香料,手征对称性在渐近大的化学势下仍然是破坏的。当Nc=Nf=3时,手征对称性破缺遵循标准图样SU(3)L×SU(3)R→SU(3),但对于Nf>出现3个反常图样。我们更详细地研究了Nf=3的情形,并计算了微扰QCD中手性序参数〈ψ̄ψ〉和〈(ψ̄ψ)2〉的大小。我们证明,渐近地,〈ψ̄ψ〉1/3比〈(ψ̄ψ)2〉1/6小得多。这一结果可以用近似的离散对称来理解。
We study the structure of QCD at very large baryon density for an arbitrary number of flavors Nf. We provide evidence that for any number of flavors larger than Nf=2 chiral symmetry remains broken at asymptotically large chemical potential. For Nc=Nf=3, chiral symmetry breaking follows the standard pattern SU(3)L×SU(3)R→SU(3), but for Nf>3 unusual patterns emerge. We study the case Nf=3 in more detail and calculate the magnitude of the chiral order parameters 〈 ψ ̄ ψ〉 and 〈( ψ ̄ ψ)2〉 in perturbative QCD. We show that, asymptotically, 〈 ψ ̄ ψ〉1/3is much smaller than 〈( ψ ̄ ψ)2〉1/6. The result can be understood in terms of an approximate discrete symmetry.