Fourth root prescription for dynamical staggered fermions

Journal Article · Thu Dec 01 00:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.114512· OSTI ID:20774453

Adams, David H ^[1]

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1. Instituut-Lorentz for Theoretical Physics, Leiden University, Niels Bohrweg 2, NL-2333 CA Leiden (Netherland) and National Center for Theoretical Sciences, National Taiwan University, Taipei 106, Taiwan (China) and Physics Department, Florida International University, 11200 SW 8th Street, Miami, Florida 33199 (United States)

With the aim of resolving theoretical issues associated with the fourth root prescription for dynamical staggered fermions in lattice QCD simulations, we consider the problem of finding a viable lattice Dirac operator D such that (detD{sub staggered}){sup 1/4}=detD. Working in the flavor field representation we show that in the free field case there is a simple and natural candidate D satisfying this relation, and we show that it has acceptable locality behavior: exponentially local with a localization range vanishing {approx}{radical}(a/m) for lattice spacing a{yields}0. Prospects for the interacting case are also discussed, although we do not solve this case here.

• OSTI ID: 20774453
• Journal Information: Physical Review. D, Particles Fields, Vol. 72, Issue 11; Other Information: DOI: 10.1103/PhysRevD.72.114512; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPUTERIZED SIMULATION
DIRAC OPERATORS
FERMIONS
FLAVOR MODEL
LATTICE FIELD THEORY
LOCALITY
QUANTUM CHROMODYNAMICS