Symmetries and exponential error reduction in Yang-Mills theories on the lattice

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dc.creatorDella Morte, Michele
dc.creatorGiusti, Leonardo
dc.date2008-06-16
dc.date2009-03-09
dc.date.accessioned2026-07-07T13:13:18Z
dc.date.available2026-07-07T13:13:18Z
dc.descriptionThe partition function of a quantum field theory with an exact symmetry can be decomposed into a sum of functional integrals each giving the contribution from states with definite symmetry properties. The composition rules of the corresponding transfer matrix elements can be exploited to devise a multi-level Monte Carlo integration scheme for computing correlation functions whose numerical cost, at a fixed precision and at asymptotically large times, increases power-like with the time extent of the lattice. As a result the numerical effort is exponentially reduced with respect to the standard Monte Carlo procedure. We test this strategy in the SU(3) Yang--Mills theory by evaluating the relative contribution to the partition function of the parity odd states.
dc.description18 pages, 4 figures. Few typos corrected, data sets added, Appendix A added. To appear on Comput. Phys. Commun
dc.identifierhttps://arxiv.org/abs/0806.2601
dc.identifierhttp://arxiv.org/abs/0806.2601
dc.identifierComput.Phys.Commun.180:819-826,2009
dc.identifierdoi:10.1016/j.cpc.2009.03.009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229843
dc.subjectHigh Energy Physics - Lattice
dc.subjectMaterials Science
dc.subjectStatistical Mechanics
dc.titleSymmetries and exponential error reduction in Yang-Mills theories on the lattice
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