Chiral Lagrangian and spectral sum rules for dense two-color QCD
Chiral Lagrangian and spectral sum rules for dense two-color QCD
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DOI：
10.1088/1126-6708/2009/08/003
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发表时间：
2009-06
影响因子：
5.4
通讯作者：
T. Kanazawa;T. Wettig;N. Yamamoto
中科院分区：
文献类型：
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作者：
T. Kanazawa;T. Wettig;N. Yamamoto
我们解析地研究了重子密度为偶数的双色QCD。这个理论不存在费米子符号问题。手征对称性被双夸克凝聚体自发破缺。基于对称性破缺模式，我们构造了Nambu-Goldstone玻色子的低能有效拉格朗日量。我们确定了一个新的ε制度，在重子密度高的夸克质量依赖的配分函数可以准确地确定。我们还得到了费米子间隙的狄拉克算子的复本征值的Leutwyler-Smilga型谱求和规则。我们的结果原则上可以在格点QCD模拟中得到检验。
We analytically study two-color QCD with an even number of flavors at high baryon density. This theory is free from the fermion sign problem. Chiral symmetry is broken spontaneously by the diquark condensate. Based on the symmetry breaking pattern we construct the low-energy effective Lagrangian for the Nambu-Goldstone bosons. We identify a new epsilon-regime at high baryon density in which the quark mass dependence of the partition function can be determined exactly. We also derive Leutwyler-Smilga-type spectral sum rules for the complex eigenvalues of the Dirac operator in terms of the fermion gap. Our results can in principle be tested in lattice QCD simulations.