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Projective multigrid method for propagators in lattice gauge theory

Journal Article · · Physical Review, D (Particles Fields); (USA)
 [1];  [2];  [3]
  1. Physics Department and Department of Electrical, Computer, and Systems Engineering, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215 (USA)
  2. Physics Department, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215 (USA)
  3. Physics Department, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215 (USA) Dalhousie University, Halifax, Nova Scotia (Canada)
+ Show Author Affiliations
A projective multigrid method is considered for application to fermion propagators in the presence of gauge fields. The collective variables on each block are defined by the gauge-invariant projection onto the lowest eigenstate for the block. The scheme is formulated in detail for two-dimensional bosons and Wilson fermions in the U(1) gauge theory and numerical studies are presented for bosons to demonstrate its potential for more efficient convergence. For example, at a confinement length of 8 lattice units on a 64{times}64 lattice, the projective multigrid method gives a speed up of almost two orders of magnitude relative to the Gauss-Seidel algorithm.
OSTI ID:
5713265
Journal Information:
Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:6; ISSN PRVDA; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
BOSONS
DIFFERENTIAL EQUATIONS
EIGENSTATES
EQUATIONS
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
KLEIN-GORDON EQUATION
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL LOGIC
PARTIAL DIFFERENTIAL EQUATIONS
PROPAGATOR
QUANTUM FIELD THEORY
SCALAR FIELDS
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS
U GROUPS
U-1 GROUPS
WAVE EQUATIONS