玻色配分函数
Bosonic Partition Functions
摘要：
二维格点量子色动力学的猝灭Dirac谱的行为与自发的手征对称性破缺相一致，而这是Coleman-Mermin-Wagner定理所禁止的。这个悖论的一个可能的解决方案是，由于部分猝灭配分函数中的玻色子行列式，这个定理的条件被违反，允许在二维或更小的空间中自发对称性破缺。这可以追溯到Niedermaier和Seiler对双曲自旋链的不服从对称性的工作，以及两个作者在非零化学势下对玻色子配分函数的早期工作。本文讨论了非零同位旋化学势下QCD的玻色子配分函数的手征对称性破缺和虚化学势下的玻色子随机矩阵理论，并与费米子理论的结果进行了比较。在这两种情况下，玻色子配分函数的手征对称性群都是非紧的。
英文摘要：
The behavior of quenched Dirac spectra of two-dimensional lattice QCD is consistent with spontaneous chiral symmetry breaking which is forbidden according to the Coleman-Mermin-Wagner theorem. One possible resolution of this paradox is that, because of the bosonic determinant in the partially quenched partition function, the conditions of this theorem are violated allowing for spontaneous symmetry breaking in two dimensions or less. This goes back to work by Niedermaier and Seiler on nonamenable symmetries of the hyperbolic spin chain and earlier work by two of the auhtors on bosonic partition functions at nonzero chemical potential. In this talk we discuss chiral symmetry breaking for the bosonic partition function of QCD at nonzero isospin chemical potential and a bosonic random matrix theory at imaginary chemical potential and compare the results with the fermionic counterpart. In both cases the chiral symmetry group of the bosonic partition function is noncompact.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
