On the generalized eigenvalue method for energies and matrix elements in lattice field theory

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dc.creatorBlossier, Benoit
dc.creatorDella Morte, Michele
dc.creatorvon Hippel, Georg
dc.creatorMendes, Tereza
dc.creatorSommer, Rainer
dc.date2009-02-07
dc.date2009-02-24
dc.date.accessioned2026-07-07T13:09:47Z
dc.date.available2026-07-07T13:09:47Z
dc.descriptionWe discuss the generalized eigenvalue problem for computing energies and matrix elements in lattice gauge theory, including effective theories such as HQET. It is analyzed how the extracted effective energies and matrix elements converge when the time separations are made large. This suggests a particularly efficient application of the method for which we can prove that corrections vanish asymptotically as $\exp(-(E_{N+1}-E_n) t)$. The gap $E_{N+1}-E_n$ can be made large by increasing the number $N$ of interpolating fields in the correlation matrix. We also show how excited state matrix elements can be extracted such that contaminations from all other states disappear exponentially in time. As a demonstration we present numerical results for the extraction of ground state and excited B-meson masses and decay constants in static approximation and to order $1/m_b$ in HQET.
dc.description(1+28) pages, 9 figures; minor corrections to table 1 and figures, main results unaffected
dc.identifierhttps://arxiv.org/abs/0902.1265
dc.identifierhttp://arxiv.org/abs/0902.1265
dc.identifierJHEP 0904:094,2009
dc.identifierdoi:10.1088/1126-6708/2009/04/094
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228850
dc.subjectHigh Energy Physics - Lattice
dc.titleOn the generalized eigenvalue method for energies and matrix elements in lattice field theory
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