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arXiv 1208.4235hep-lat
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格点量子色动力学中两种未改进Wilson费米子的拓扑电荷密度关联函数

Topological charge density correlator in Lattice QCD with two flavours of unimproved Wilson fermions

Abhishek Chowdhury, Asit K. De, A. Harindranath, Jyotirmoy Maiti, Santanu Mondal

摘要:

本文研究了具有两种简并味的未改进Wilson费米子和Wilson规范作用量的格点量子色动力学在两种格点间距和不同体积下的两点拓扑电荷密度关联函数(TCDC)。用DDHMC算法生成图像,用HYP涂抹进行平滑。为了揭示的机制,导致观察到的抑制拓扑磁化率相对于夸克质量和体积的减少,在这项工作中,我们进行了详细的研究的两点TCDC。结果表明:(1)TCDC在正核之外为负,且核半径随晶格间距减小而减小;(2)随着体积减小,接触项的大小和正核半径减小,负峰的大小增大,导致拓扑磁化率随体积减小而减小,(3)在一定的晶格间距下,正核的接触项和半径随夸克质量的减小而减小,负核的峰值随夸克质量的减小而增大,导致拓扑磁化率随夸克质量的减小而减小,(4)增加的拖尾水平抑制接触项和负峰,保持磁化率不变,以及(5)随着晶格间距减小,接触项和负峰都以不可积分的方式发散。令人欣慰的是,类似的观察1和5已经使用的拓扑电荷密度算符的基础上的手征费米子。观察2和3可以通过使用基于手性费米子的公式更精确地证实。

英文摘要:

We study the two-point Topological Charge Density Correlator (TCDC) in lattice QCD with two degenerate flavours of unimproved Wilson fermions and Wilson gauge action at two values of lattice spacings and different volumes, for a range of quark masses. Configurations are generated with DDHMC algorithm and smoothed with HYP smearing. In order to shed light on the mechanisms leading to the observed suppression of topological susceptibility with respect to the decreasing quark mass and decreasing volume, in this work, we carry out a detailed study of the two-point TCDC. We have shown that, (1) the TCDC is negative beyond a positive core and radius of the core shrinks as lattice spacing decreases, (2) as the volume decreases, the magnitude of the contact term and the radius of the positive core decrease and the magnitude of the negative peak increases resulting in the suppression of the topological susceptibility as the volume decreases, (3) the contact term and radius of the positive core decrease with decreasing quark mass at a given lattice spacing and the negative peak increases with decreasing quark mass resulting in the suppression of the topological susceptibility with decreasing quark mass, (4) increasing levels of smearing suppresses the contact term and the negative peak keeping the susceptibility intact and (5) both the contact term and the negative peak diverge in nonintegrable fashion as lattice spacing decreases. It is gratifying to note that observations similar to 1 and 5 have been made using topological charge density operator based on chiral fermion. The observations 2 and 3 may be confirmed more precisely by using formulations based on chiral fermions.

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