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Title: Multigrid algorithm for staggered lattice fermions

Critical slowing down in Krylov methods for the Dirac operator presents a major obstacle to further advances in lattice field theory as it approaches the continuum solution. Here we formulate a multigrid algorithm for the Kogut-Susskind (or staggered) fermion discretization which has proven difficult relative to Wilson multigrid due to its first-order anti-Hermitian structure. The solution is to introduce a novel spectral transformation by the Kähler-Dirac spin structure prior to the Galerkin projection. We present numerical results for the two-dimensional, two-flavor Schwinger model; however, the general formalism is agnostic to dimension and is directly applicable to four-dimensional lattice QCD.
Authors:
 [1] ;  [2] ;  [3] ;  [1]
  1. Boston U.
  2. NVIDIA, Santa Clara
  3. Fermilab
Publication Date:
Report Number(s):
FERMILAB-PUB-18-073-CD; arXiv:1801.07823
1650136
Grant/Contract Number:
AC02-07CH11359; SC0015845
Type:
Published Article
Journal Name:
Phys.Rev.
Additional Journal Information:
Journal Volume: D97; Journal Issue: 11
Research Org:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); USDOE National Nuclear Security Administration (NNSA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1457586
Alternate Identifier(s):
OSTI ID: 1437400