arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1102.5233hep-lat
收藏

线性协变规范中的胶子算符

Gluon Propagators in Linear Covariant Gauge

Attilio Cucchieri, Tereza Mendes, Gilberto M. Nakamura, Elton M. S. Santos

摘要:

线性协变规范在格点上的实现面临一个概念问题:使用标准紧致离散化,胶子场是有界的,而胶子场的四散度满足高斯分布,即它是无界的。这可能会引起收敛问题时,试图数值实现。为了克服这个问题,可以对胶子场使用不同的离散化,或者考虑具有足够大N_c的SU(N_c)群。我们也可以考虑规范参数xi的小值,并数值研究xi \to 0的极限情况,即朗道规范。这些不同的方法将在这里讨论。

英文摘要:

The implementation of the linear covariant gauge on the lattice faces a conceptual problem: using the standard compact discretization, the gluon field is bounded, while the four-divergence of the gluon field satisfies a Gaussian distribution, i.e. it is unbounded. This can give rise to convergence problems when a numerical implementation is attempted. In order to overcome this problem, one can use different discretizations for the gluon field or consider an SU(N_c) group with sufficiently large N_c. One can also consider small values of the gauge parameter xi and study numerically the limiting case of xi \to 0, i.e. the Landau gauge. These different approaches will be discussed here.

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。

↑