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arXiv 1402.7138hep-lathep-phhep-th
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开边界条件、Wilson流和标量Gebrishball质量

Open Boundary Condition, Wilson Flow and the Scalar Glueball Mass

Abhishek Chowdhury, A. Harindranath, Jyotirmoy Maiti

摘要:

当前格点规范理论模拟中所采用的规范场周期边界条件的一个主要问题是当接近连续极限时,在特定扇区中的拓扑荷被捕获。为了克服这个问题,最近提出了在时间方向上的开边界条件。人们可能会问,开边界条件是否能再现用周期边界条件计算的观测量。在这项工作中,我们发现,提取的最低胶球质量使用开放和周期性的边界条件,在相同的晶格体积和晶格间距同意的范围内探索的晶格尺度在3 GeV $\leq $ 1/a $\leq$ 5 GeV。捕获的问题在很大程度上克服了开放边界,我们能够提取胶球质量在更大的晶格尺度$\approx$ 5.7 GeV。为了平滑规范场和减少截断伪影,最近提出的Wilson流被使用。提取的胶球质量显示出显着的不敏感性,在这项工作中探索的范围内,3 GeV的$\leq$ 1/a $\leq$ 5.7 GeV的晶格间距。

英文摘要:

A major problem with periodic boundary condition on the gauge fields used in current lattice gauge theory simulations is the trapping of topological charge in a particular sector as the continuum limit is approached. To overcome this problem open boundary condition in the temporal direction has been proposed recently. One may ask whether open boundary condition can reproduce the observables calculated with periodic boundary condition. In this work we find that the extracted lowest glueball mass using open and periodic boundary conditions at the same lattice volume and lattice spacing agree for the range of lattice scales explored in the range 3 GeV $\leq $ 1/a $\leq$ 5 GeV. The problem of trapping is overcome to a large extent with open boundary and we are able to extract the glueball mass at even larger lattice scale $\approx$ 5.7 GeV. To smoothen the gauge fields and to reduce the cut off artifacts recently proposed Wilson flow is used. The extracted glueball mass shows remarkable insensitivity to the lattice spacings in the range explored in this work, 3 GeV $\leq$ 1/a $\leq$ 5.7 GeV.

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