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SUMMARY:Wavelets and their applications to lattice QCD
DTSTART:20260811T150000Z
DTEND:20260811T160000Z
DTSTAMP:20260823T201800Z
UID:indico-event-33444@indico.bnl.gov
DESCRIPTION:Speakers: Nilmani Mathur\n\nWavelets have found widespread app
 lications in modern signal processing\, image analysis\, and noise reducti
 on. However\, their use in quantum field theories has remained largely une
 xplored. At the same time\, lattice QCD calculations\, particularly those 
 involving nuclei\, are often limited by severe signal-to-noise degradation
  in correlation functions. We introduce a novel quark-smearing method base
 d on wavelets that efficiently projects quark fields onto a low-energy sub
 space. This approach is used to construct sparse estimators of multi-hadro
 n correlation functions. We demonstrate that the ground-state signals obta
 ined with the wavelet-based method are consistent with those from the full
  correlation functions while reducing the computational cost substantially
 . Furthermore\, we incorporate wavelet basis functions into both exact and
  stochastic distillation frameworks. The resulting formulation enables eff
 icient computation of single- and multi-hadron and momentum correlation fu
 nctions with significantly reduced Wick-contraction costs and memory requi
 rements\, without compromising the quality of the extracted signals. In th
 is talk\, I will present the wavelet-based formulation\, its implementatio
 n within the distillation framework\, and discuss its broader applications
  to lattice field theories.\n\nhttps://indico.bnl.gov/event/33444/
URL:https://indico.bnl.gov/event/33444/
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