Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-07-08
Phys.Rev.D78:074503,2008
Physics
High Energy Physics
High Energy Physics - Lattice
40 pages, 13 figures. Added discussions on the way the Wang-Landau algorithm that we use differs from other implementations in
Scientific paper
10.1103/PhysRevD.78.074503
We implement the Wang-Landau algorithm in the context of SU(N) lattice gauge theories. We study the quenched, reduced version of the lattice theory and calculate its density of states for N=20,30,40,50. We introduce a variant of the original algorithm in which the weight function used in the update does not asymptote to a fixed function, but rather continues to have small fluctuations which enhance tunneling. We formulate a method to evaluate the errors in the density of states, and use the result to calculate the dependence of the average action density and the specific heat on the `t Hooft coupling lambda. This allows us to locate the coupling lambda_t at which a strongly first order transition occurs in the system. For N=20 and 30 we compare our results to those obtained using Ferrenberg-Swendsen multi-histogram reweighting and find agreement with errors of 0.2 % or less. Extrapolating our results to N=oo we find 1/lambda_t = 0.3148(2). We remark on the significance of this result for the validity of quenched large-$N$ reduction of SU(N) lattice gauge theories.
Bringoltz Barak
Sharpe Stephen R.
No associations
LandOfFree
Applying the Wang-Landau Algorithm to Lattice Gauge 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 Applying the Wang-Landau Algorithm to Lattice Gauge Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Applying the Wang-Landau Algorithm to Lattice Gauge Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-269026