SIAM journal on scientific computing, ISSN 1095-7197, 2014, Volume 36, Issue 4, pp. A1581 - A1608

In lattice quantum chromodynamics (QCD) computations a substantial amount of work is spent in solving discretized versions of the Dirac equation. Conventional...

Aggregation | Adaptivity | Parallel computing | Multigrid | Multilevel | Lattice qcd | Domain decomposition | Wilson-Dirac operator | MATHEMATICS, APPLIED | ALPHA-SA | domain decomposition | multilevel | multigrid | aggregation | KRYLOV SUBSPACE METHODS | adaptivity | QCD | MASS | parallel computing | lattice QCD | Algebra | Computation | Lattices | Dirac equation | Solvers | Mathematical models | Quantum chromodynamics

Aggregation | Adaptivity | Parallel computing | Multigrid | Multilevel | Lattice qcd | Domain decomposition | Wilson-Dirac operator | MATHEMATICS, APPLIED | ALPHA-SA | domain decomposition | multilevel | multigrid | aggregation | KRYLOV SUBSPACE METHODS | adaptivity | QCD | MASS | parallel computing | lattice QCD | Algebra | Computation | Lattices | Dirac equation | Solvers | Mathematical models | Quantum chromodynamics

Journal Article

Computer Physics Communications, ISSN 0010-4655, 2012, Volume 183, Issue 2, pp. 299 - 304

...–Dirac operator based on the Arnoldi algorithm. These eigenvalues contain information about several observables...

Lattice QCD | Arnoldi algorithm | Wilson–Dirac operator eigenvalues | Super Yang–Mills theory | Wilson-Dirac operator eigenvalues | Super Yang-Mills theory | YANG-MILLS THEORY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | INDEX THEOREM | QCD | PHYSICS, MATHEMATICAL | LATTICE | LOW-LYING EIGENMODES | Methods | Algorithms | Operators | Fermions | Computation | Mathematical analysis | Eigenvalues | Determinants | Transformations | Physics - High Energy Physics - Lattice

Lattice QCD | Arnoldi algorithm | Wilson–Dirac operator eigenvalues | Super Yang–Mills theory | Wilson-Dirac operator eigenvalues | Super Yang-Mills theory | YANG-MILLS THEORY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | INDEX THEOREM | QCD | PHYSICS, MATHEMATICAL | LATTICE | LOW-LYING EIGENMODES | Methods | Algorithms | Operators | Fermions | Computation | Mathematical analysis | Eigenvalues | Determinants | Transformations | Physics - High Energy Physics - Lattice

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2002, Volume 628, Issue 1, pp. 253 - 269

The probability density of low-lying eigenvectors of the hermitian Wilson–Dirac operator H( κ)= γ 5 D W( κ) is examined. Comparisons in position and size between eigenvectors, topological charge and action density are made...

Eigenmodes | Topology | Wilson–Dirac operator | Lattice | Instantons | Wilson-dirac operator | LATTICE QCD | lattice | eigenmodes | topology | instantons | Wilson-Dirac operator | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

Eigenmodes | Topology | Wilson–Dirac operator | Lattice | Instantons | Wilson-dirac operator | LATTICE QCD | lattice | eigenmodes | topology | instantons | Wilson-Dirac operator | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 08/2005, Volume 72, Issue 3, pp. 1 - 19

We determine the location lambda(c) of the mobility edge in the spectrum of the Hermitian Wilson operator in pure-gauge ensembles with plaquette, Iwasaki, and DBW2 gauge actions...

DOMAIN-WALL FERMIONS | PHASE-STRUCTURE | U PROBLEM | SPONTANEOUS BREAKING | QCD | PARITY | EXACTLY MASSLESS QUARKS | CHIRAL-SYMMETRY | ASTRONOMY & ASTROPHYSICS | OVERLAP | WILSON-DIRAC OPERATOR | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

DOMAIN-WALL FERMIONS | PHASE-STRUCTURE | U PROBLEM | SPONTANEOUS BREAKING | QCD | PARITY | EXACTLY MASSLESS QUARKS | CHIRAL-SYMMETRY | ASTRONOMY & ASTROPHYSICS | OVERLAP | WILSON-DIRAC OPERATOR | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 12/2001, Volume 42, Issue 12, pp. 5522 - 5533

...–Dirac operator or, equivalently, as the index of the overlap Dirac operator, reduces to the continuum topological charge in the classical continuum limit...

FIELDS | INDEX THEOREM | EXACTLY MASSLESS QUARKS | CHIRAL FERMIONS | OVERLAP | SPECTRUM | PHYSICS, MATHEMATICAL | WILSON-DIRAC OPERATOR

FIELDS | INDEX THEOREM | EXACTLY MASSLESS QUARKS | CHIRAL FERMIONS | OVERLAP | SPECTRUM | PHYSICS, MATHEMATICAL | WILSON-DIRAC OPERATOR

Journal Article

Physical review. D, Particles and fields, ISSN 1089-4918, 2003, Volume 67, Issue 9

We study the locality and topological properties of fat link clover overlap (FCO) actions. We find that a small amount of fattening already results in greatly...

LATTICE QCD | VACUUM | GAUGE-THEORIES | CONTINUUM-LIMIT | CONSTRUCTION | FERMIONS | WILSON-DIRAC OPERATOR | ULTRALOCALITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

LATTICE QCD | VACUUM | GAUGE-THEORIES | CONTINUUM-LIMIT | CONSTRUCTION | FERMIONS | WILSON-DIRAC OPERATOR | ULTRALOCALITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

Journal Article

Proceedings - 2017 International Conference on High Performance Computing and Simulation, HPCS 2017, 09/2017, pp. 315 - 324

Conference Proceeding

Nuclear physics. Section B, Proceedings supplement, ISSN 0920-5632, 2001, Volume 94, Issue 1-3, pp. 177 - 188

Domain wall fermions provide a complimentary alternative to traditional lattice fermion approaches. By introducing an extra dimension, the amount of chiral...

BACKGROUNDS | LATTICE QCD | BREAKING | YANG-MILLS THEORY | GAUGE-THEORIES | SYMMETRY | PERTURBATIVE RENORMALIZATION FACTORS | CHIRAL FERMIONS | MODEL | WILSON-DIRAC OPERATOR | PHYSICS, PARTICLES & FIELDS

BACKGROUNDS | LATTICE QCD | BREAKING | YANG-MILLS THEORY | GAUGE-THEORIES | SYMMETRY | PERTURBATIVE RENORMALIZATION FACTORS | CHIRAL FERMIONS | MODEL | WILSON-DIRAC OPERATOR | PHYSICS, PARTICLES & FIELDS

Journal Article

Nuclear Physics B (Proceedings Supplements), ISSN 0920-5632, 2002, Volume 109, Issue 1, pp. 70 - 76

...), which seem mutually inconsistent. We next derive a formula which connects a chiral symmetry breaking term in the five dimensional DWF Ward-Takahashi identity with the four-dimensional hermitian Wilson-Dirac operator...

LATTICE QCD | GAUGE-THEORIES | U PROBLEM | WILSON-DIRAC OPERATOR | EXACTLY MASSLESS QUARKS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

LATTICE QCD | GAUGE-THEORIES | U PROBLEM | WILSON-DIRAC OPERATOR | EXACTLY MASSLESS QUARKS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

Journal Article

PHYSICAL REVIEW D, ISSN 2470-0010, 03/2001, Volume 63, Issue 5

...-s), the gauge coupling beta and the physical volume V. We measure the mass by calculating the small eigenvalues of the Hermitian domain-wall Dine operator [H-DWF(m(o...

BACKGROUNDS | CONDENSATE | TOPOLOGY | LATTICE QCD | GAUGE-THEORIES | QUENCHED QCD | ASTRONOMY & ASTROPHYSICS | OVERLAP | WILSON-DIRAC OPERATOR | PHYSICS, PARTICLES & FIELDS

BACKGROUNDS | CONDENSATE | TOPOLOGY | LATTICE QCD | GAUGE-THEORIES | QUENCHED QCD | ASTRONOMY & ASTROPHYSICS | OVERLAP | WILSON-DIRAC OPERATOR | PHYSICS, PARTICLES & FIELDS

Journal Article

J Phys Soc Jpn, ISSN 0031-9015, 7/2013, Volume 82, Issue 7, pp. 073708 - 073708-5

We explore novel topological phases realized in a superlattice system based on the Wilson--Dirac model. Our main focus is on a two-dimensional analogue of weak...

Weak topological phase | Topological insulator | Chern number | Superlattice | Wilson-Dirac model | topological insulator | superlattice | INSULATORS | STATES | PHYSICS, MULTIDISCIPLINARY | CLASSIFICATION | weak topological phase

Weak topological phase | Topological insulator | Chern number | Superlattice | Wilson-Dirac model | topological insulator | superlattice | INSULATORS | STATES | PHYSICS, MULTIDISCIPLINARY | CLASSIFICATION | weak topological phase

Journal Article

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