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SUMMARY:[NT/RBRC seminar] Efficient integration of gradient flow in lattic
e gauge theory and properties of low-storage commutator-free Lie group met
hods
DTSTART;VALUE=DATE-TIME:20210423T131500Z
DTEND;VALUE=DATE-TIME:20210423T150000Z
DTSTAMP;VALUE=DATE-TIME:20220121T151601Z
UID:indico-event-10893@indico.bnl.gov
DESCRIPTION:Gradient flow is a smoothing procedure that suppresses ultravi
olet fluctuations of gauge fields. It is often used for high-precision sca
le setting and renormalization of operators in lattice QCD calculations. T
he gradient flow equation is defined on the SU(3) manifold and therefore r
equires geometric\, or structure-preserving\, integration methods to obtai
n its numerical solutions. I discuss the properties of the three-stage thi
rd-order Runge-Kutta integrator introduced by Luescher (that became almost
the default choice in lattice QCD applications) and its relation to struc
ture-preserving integrators available in the literature. I demonstrate how
classical low-storage Runge-Kutta methods can be turned into structure-pr
eserving integration methods and how schemes of order higher than three ca
n be built. Based on the properties of the low-storage schemes I discuss h
ow the methods can be tuned for optimal performance in lattice QCD or any
other applications.\n\n \n\nZoom: https://bnl.zoomgov.com/j/1619746230?pw
d=bGlJY2NlaGIwR3hCeThwVFlxYzR6dz09\n\nhttps://indico.bnl.gov/event/10893/
LOCATION:
URL:https://indico.bnl.gov/event/10893/
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