畴壁转移矩阵中的振荡项
Oscillatory terms in the domain wall transfer matrix
摘要:
我们研究了畴壁费米子的转移矩阵,以了解M >1时强子关联函数振荡贡献的起源和意义。对于一个空间、一个时间和一个味维中的自由粒子,计算了出现在转移矩阵中的单体算符的本征模,并研究了M > 1时出现的负本征模的作用.在三维情况下,当M大于1时,自由费米子的QCD中强子关联函数出现振荡,并随M的增大而增大。类似的行为观察HYP涂抹MILC晶格上的畴壁费米子,并证明了一个程序,从物理观测值减去振荡项。
英文摘要:
We study the transfer matrix for domain wall fermions to understand the origin and significance of oscillatory contributions to hadron correlation functions that arise for M >1. For a free particle in one space, one time, and one flavor dimension, the eigenmodes of the one-body operator appearing in the transfer matrix are calculated, and the role of the negative eigenmodes arising when M > 1 is studied. In the case of three space dimensions, oscillatory behavior for hadron correlation functions in QCD is shown to emerge for free fermions when M exceeds 1, and to increase with increasing M. Analogous behavior is observed for domain wall fermions on HYP smeared MILC lattices, and a procedure is demonstrated for subtracting oscillating terms from physical observables.
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