A5: Two-grid overlap solver in lattice QCD

28 Jul 2021, 08:00
1h
Poster Algorithms (including Machine Learning, Quantum Computing, Tensor Networks) Poster

Speaker

Dr Dafina Xhako (Polytechnic University of Tirana)

Description

In lattice quantum chromodynamics with chiral fermions we want to solve linear systems which are chiral and dense discretizations of the Dirac operator, or the overlap operator. For this purpose, we use the equivalence of the overlap operator with the truncated overlap operator, which is a five dimensional formulation of the same theory. The coarsening is performed along the fifth dimension only. We have tested first this algorithm for small lattice volume 8^4 and we bring here our results for larger lattice size 16^4. We have done simulation in the range of coupling constants and quark masses for which the algorithm is fast and saves a factor of 6, even for dense lattice, compared to the standard Krylov subspace methods.

Primary author

Dr Dafina Xhako (Polytechnic University of Tirana)

Co-authors

Dr Rudina Osmanaj (Faculty of Natural Sciences, University of Tirana) Dr Niko Hyka (Department of Diagnostics, Faculty of Medical Technical Sciences, Medical University of Tirana)

Presentation materials