Group-theoretical construction of extended baryon operators in lattice QCD

Journal Article · Tue Nov 01 00:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.094506· OSTI ID:20713854

Basak, S; Sato, I; Wallace, S ^[1]; Edwards, R G; Richards, D ^[2]; Fleming, G T ^[3]; Heller, U M ^[4]; Morningstar, C ^[5]

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1. Department of Physics, University of Maryland, College Park, Maryland 20742 (United States)
2. Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606 (United States)
3. Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520 (United States)
4. American Physical Society, Ridge, New York 11961-9000 (United States)
5. Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213 (United States)

The design and implementation of large sets of spatially extended, gauge-invariant operators for use in determining the spectrum of baryons in lattice QCD computations are described. Group-theoretical projections onto the irreducible representations of the symmetry group of a cubic spatial lattice are used in all isospin channels. The operators are constructed to maximize overlaps with the low-lying states of interest, while minimizing the number of sources needed in computing the required quark propagators. Issues related to the identification of the spin quantum numbers of the states in the continuum limit are addressed.

• OSTI ID: 20713854
• Journal Information: Physical Review. D, Particles Fields, Vol. 72, Issue 9; Other Information: DOI: 10.1103/PhysRevD.72.094506; (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
BARYONS
GAUGE INVARIANCE
IRREDUCIBLE REPRESENTATIONS
ISOSPIN
LATTICE FIELD THEORY
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM NUMBERS
QUARKS
REST MASS
SPIN
SYMMETRY
SYMMETRY GROUPS