Improved Landau Gauge Fixing and Discretisation Errors
نویسندگان
چکیده
منابع مشابه
Improved Landau Gauge Fixing and Discretisation Errors ∗
Gauge fixing in lattice gauge theory simulations is crucial for many calculations e.g. the study of gauge dependent quantities such as the gluon propagator [1]. However, the standard lattice Landau gauge condition [2] is the same as the continuum condition, ∑ μ ∂μAμ = 0, only to leading order in the lattice spacing, a. The focus of this talk is to use mean-fieldimproved perturbation theory [3] ...
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Lattice discretisation errors in the Landau gauge condition are examined. An improved gauge fixing algorithm in which O(a) errors are removed is presented. It is shown that O(a) errors dominate standard gauge fixing procedures and an absolute estimate of the deviation from continuum Landau gauge is given. These results emphasise the importance of implementing an improved gauge fixing condition....
متن کاملar X iv : h ep - l at / 9 90 91 10 v 1 1 4 Se p 19 99 1 Improved Landau Gauge Fixing and Discretisation Errors ∗
Lattice discretisation errors in the Landau gauge condition are examined. An improved gauge fixing algorithm in which O(a 2) errors are removed is presented. O(a 2) improvement of the gauge fixing condition displays the secondary benefit of reducing the size of higher-order errors. These results emphasise the importance of implementing an improved gauge fixing condition.
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Current algorithms used to put a lattice gauge configuration into Landau gauge either suffer from the problem of critical slowing-down or involve an additional computational expense to overcome it. Evolutionary Algorithms (EAs), which have been widely applied to other global optimisation problems, may be of use in gauge fixing. Also, being global, they should not suffer from critical slowing-do...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 2000
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(00)00412-6