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arXiv 2203.14754hep-lat
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QCD味单态局域矢量流的非微扰重整化

Non-perturbative renormalization of the QCD flavour-singlet local vector current

Matteo Bresciani, Mattia Dalla Brida, Leonardo Giusti, Michele Pepe, Federico Rapuano

摘要:

我们非微扰地计算了格点量子色动力学中具有3个无质量味的味单重态局域矢量流$Z_V$的重整化常数。胶子采用威尔逊元格作用量离散,夸克采用O($a$)改进的威尔逊-狄拉克算符离散。常数$Z_V$通过比较在有限温度下、存在移动边界条件和非零虚化学势时守恒和局部矢量流的期望值(1-点函数)来固定。蒙特卡罗模拟与适度的计算成本,使我们能够获得$Z_V$的精度约为8 \textperthousand \,在$5.3 \leq β\leq 11.5$的范围内的反向裸耦合常数$β=6/g_0^2$的值。

英文摘要:

We compute non-perturbatively the renormalization constant of the flavour-singlet local vector current $Z_V$ in lattice QCD with 3 massless flavours. Gluons are discretized by the Wilson plaquette action while quarks by the O($a$)-improved Wilson--Dirac operator. The constant $Z_V$ is fixed by comparing the expectation values (1-point functions) of the conserved and local vector currents at finite temperature in the presence of shifted boundary conditions and at non-zero imaginary chemical potential. Monte Carlo simulations with a moderate computational cost allow us to obtain $Z_V$ with an accuracy of about 8\textperthousand\, for values of the inverse bare coupling constant $β=6/g_0^2$ in the range $5.3 \leq β\leq 11.5$.

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