Analysis and Development of Stochastic Multigrid Methods in Lattice Field Theory

Details Analysis and Development of Stochastic Multigrid Methods in Lattice Field Theory Analysis and Development of Stochastic Multigrid Methods in Lattice Field Theory

1994-01-20

arxiv.org/abs/hep-lat/9401024v1

Physics

High Energy Physics

High Energy Physics - Lattice

(PhD thesis), 90 pages, latex file + epsfigures as uuencoded file, preprint DESY 94-007

Scientific paper

We study the relation between the dynamical critical behavior and the kinematics of stochastic multigrid algorithms. The scale dependence of acceptance rates for nonlocal Metropolis updates is analyzed with the help of an approximation formula. A quantitative study of the kinematics of multigrid algorithms in several interacting models is performed. We find that for a critical model with Hamiltonian H(phi) absence of critical slowing down can only be expected if the expansion of in terms of the shift psi contains no relevant term (mass term). The predictions of this rule are verified in a multigrid Monte Carlo simulation of the Sine Gordon model in two dimensions. Our analysis can serve as a guideline for the development of new algorithms: We propose a new multigrid method for nonabelian lattice gauge theory, the time slice blocking. For SU(2) gauge fields in two dimensions, critical slowing down is almost completely eliminated by this method, in accordance with the theoretical prediction. The generalization of the time slice blocking to SU(2) in four dimensions is investigated analytically and by numerical simulations. Compared to two dimensions, the local disorder in the four dimensional gauge field leads to kinematical problems.

Affiliated with

Also associated with

No associations

Rating

Analysis and Development of Stochastic Multigrid Methods in Lattice Field Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Analysis and Development of Stochastic Multigrid Methods in Lattice Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analysis and Development of Stochastic Multigrid Methods in Lattice Field Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-44799