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arXiv 0908.2466hep-lat
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SU(3)六重态费米子的手征性质

Chiral properties of SU(3) sextet fermions

Zoltan Fodor, Kieran Holland, Julius Kuti, Daniel Nogradi, Chris Schroeder

摘要:

本文研究了具有重叠费米子的SU(3)规范理论,其中重叠费米子是2指数对称(六重态)和基本表象。虽然一般的期望是如果两个表示都是复杂的,破缺模式将是相同的,但先验地不知道在高维表示中的手征对称性破缺模式是什么。在N_f = 0处的六位组中,在几个精确的零模扇区中验证了这一预期。结果表明,如果体积足够大,相同的随机矩阵合奏描述的六重态和基本狄拉克本征值。零模式的六重态的数量增加约5倍,相对于基本的根据小晶格间距的指数定理,但不对应于整数拓扑电荷的零模式确实存在于较大的晶格间距。随机矩阵模型预测的零模式数依赖性正确地匹配每个扇区和每个表示中的模拟。

英文摘要:

SU(3) gauge theory with overlap fermions in the 2-index symmetric (sextet) and fundamental representations is considered. A priori it is not known what the pattern of chiral symmetry breaking is in a higher dimensional representation although the general expectation is that if two representations are both complex, the breaking pattern will be the same. This expectation is verified for the sextet at N_f = 0 in several exact zero mode sectors. It is shown that if the volume is large enough the same random matrix ensemble describes both the sextet and fundamental Dirac eigenvalues. The number of zero modes for the sextet increases approximately 5-fold relative to the fundamental in accordance with the index theorem for small lattice spacing but zero modes which do not correspond to integer topological charge do exist at larger lattice spacings. The zero mode number dependence of the random matrix model predictions correctly match the simulations in each sector and each representation.

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。

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