Non-Abelian projective multigrid for lattice gauge theory

Journal Article · Mon Mar 11 04:00:00 EST 1991 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.66.1263· OSTI ID:5713246

Brower, R C ^[1]; Rebbi, C ^[2]; Vicari, E ^[3]

---

1. Department of Phsyics and Department of Electrical, Computer and Systems Engineering, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215 (USA)
2. Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215 (USA)
3. Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215 (USA) Dalhousie University, Halifax, Nova Scotia (Canada)

We propose a new multigrid method for propagators in non-Abelian gauge theory, which preserves the low-energy spectra of the continuum limit and maintains manifest gauge covariance. By introducing a trial wave function on the blocks, an efficient projection is formed using a variational principle. Simulations in 2D SU(2) and 4D U(1) gauge theories demonstrate that the variational-state projection works at least as well as the ground-state projection studied earlier for Abelian gauge theories.

• OSTI ID: 5713246
• Journal Information: Physical Review Letters; (USA), Journal Name: Physical Review Letters; (USA) Vol. 66:10; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ENERGY LEVELS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
FUNCTIONS
GAUGE INVARIANCE
GROUND STATES
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
PROPAGATOR
QUANTUM FIELD THEORY
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS
U GROUPS
U-1 GROUPS
VARIATIONAL METHODS
WAVE FUNCTIONS