The numerical computations of many quantities of theoretical and phenomenological interest are plagued by statistical errors which increase exponentially with the distance of the sources in the relevant correlators. Notable examples are baryon masses and matrix elements, the hadronic vacuum polarization and the light-by-light scattering contributions to the muon g - 2, and the form factors of semileptonic B decays. Reliable and precise determinations of these quantities are very difficult if not impractical with state-of-the-art standard Monte Carlo integration schemes. I will review a recent proposal for factorizing the fermion determinant in lattice QCD that leads to a local action in the gauge field and in the auxiliary boson fields. Once combined with the corresponding factorization of the quark propagator, it paves the way for multi-level Monte Carlo integration in the presence of fermions opening new perspectives in lattice QCD. Exploratory results on the impact on the above mentioned observables will be presented.

Giusti, L., Cè, M., Schaefer, S. (2018). Multi-boson block factorization of fermions. Intervento presentato a: International Symposium on Lattice Field Theory (Lattice 2017), Granada, Spain [10.1051/epjconf/201817501003].

Multi-boson block factorization of fermions

Giusti, L
;
Cè, M;
2018

Abstract

The numerical computations of many quantities of theoretical and phenomenological interest are plagued by statistical errors which increase exponentially with the distance of the sources in the relevant correlators. Notable examples are baryon masses and matrix elements, the hadronic vacuum polarization and the light-by-light scattering contributions to the muon g - 2, and the form factors of semileptonic B decays. Reliable and precise determinations of these quantities are very difficult if not impractical with state-of-the-art standard Monte Carlo integration schemes. I will review a recent proposal for factorizing the fermion determinant in lattice QCD that leads to a local action in the gauge field and in the auxiliary boson fields. Once combined with the corresponding factorization of the quark propagator, it paves the way for multi-level Monte Carlo integration in the presence of fermions opening new perspectives in lattice QCD. Exploratory results on the impact on the above mentioned observables will be presented.
paper
Quantum Chromodynamics, Lattice gauge theory, Computational Physics
English
International Symposium on Lattice Field Theory (Lattice 2017)
2017
Della Morte, M. et al.
2018
175
01003
open
Giusti, L., Cè, M., Schaefer, S. (2018). Multi-boson block factorization of fermions. Intervento presentato a: International Symposium on Lattice Field Theory (Lattice 2017), Granada, Spain [10.1051/epjconf/201817501003].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/214137
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