Random surface dynamics for Z sub 2 gauge theory

Journal Article · Mon Jan 15 04:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.708· OSTI ID:6849903

Brower, R C ^[1]; Huang, S ^[2]

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1. Department of Electrical, Computer and Systems Engineering, Boston University, 44 Cummington Street, Boston, Massachusetts 02215 (US) Physics Department, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215 (USA)
2. Physics Department, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215 (USA)

A new Monte Carlo dynamics is proposed for {ital Z}{sub 2} lattice gauge theory that reduces the dynamical exponent for critical slowing down in three dimensions to {ital z}=0.61{plus minus}0.05 in comparison with a heat-bath exponent of {ital z}=2.1{plus minus}0.2. The dynamics is based on plaquette percolation and a nonlocal Monte Carlo update rule analogous to the Swendsen-Wang algorithm for the Potts model. However, the acceleration mechanism for the gauge theory, unlike the spin models, is driven by the percolation and topology of extended surfaces, not the percolation of connected clusters.

• OSTI ID: 6849903
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:2; ISSN 0556-2821; ISSN PRVDA
• Country of Publication: United States
• Language: English

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LATTICE FIELD THEORY
MATHEMATICAL LOGIC
MONTE CARLO METHOD
PARTICLE PROPERTIES
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