Locality and exponential error reduction in numerical lattice gauge theory

By M. Luscher, Peter Weisz. 2001

232 citations recorded by the source corpus.

In non-abelian gauge theories without matterelds, expectation values oflargeWilsonloopsandloopcorrelationfunctionsaredicult tocomputethrough numerical simulation, because the signal-to-noise ratio is very rapidly decaying for increasing loop sizes. Using a multilevel scheme that exploits the locality of the theory, we show that the statistical errors in such calculations can be exponentially reduced. We explicitly demonstrate this in the SU(3) theory, for the case of the Polyakovloopcorrelationfunction,wheretheeciencyofthesimulationisimproved by many orders of magnitude when the area bounded by the loops exceeds 1fm 2 .

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8c6e8f7eaa21ffb09bb133960b99f1e5016d9945

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Citations in the corpus

Transport properties of the quark-gluon plasma (2011, background): “ In this way, the ‘statistics’ accumulated for each of them multiplies with the statistics accumulated for the other. These stochastic sub-averages do not lead to a bias in the ﬁnal expectation value [123]. As a consequence of using this algorithm, the relative statistical uncertainty on the data po”
Quark confinement and the bosonic string (2002, methodology): “[6], the more complicated forms of the algorithm, with many levels of nested averages, are often not worth while.”
Heavy quarkonium in extreme conditions (2019, background): “(At T = 0 it has been established [167] that the Wilson line correlator and the Wilson loop encode the same potential also non-perturbatively.”