Bounds on the Wilson Dirac operator

Journal Article · Sat Apr 15 04:00:00 EDT 2000 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.61.085015· OSTI ID:20216151

Neuberger, Herbert ^[1]

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1. Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08855-0849 (United States)

New exact upper and lower bounds are derived on the spectrum of the square of the Hermitian Wilson Dirac operator. It is hoped that the derivations and the results will be of help in the search for ways to reduce the cost of simulations using the overlap Dirac operator. The bounds also apply to the Wilson Dirac operator in odd dimensions and are therefore relevant to domain-wall fermions as well. (c) 2000 The American Physical Society.

• OSTI ID: 20216151
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 61; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIRAC OPERATORS
GAUGE INVARIANCE
HAMILTONIANS
HERMITIAN OPERATORS
LATTICE FIELD THEORY
QUANTUM CHROMODYNAMICS
THEORETICAL DATA