Systematic Speedup of Path Integrals of a Generic $N$-fold Discretized Theory

Details Systematic Speedup of Path Integrals of a Generic $N$-fold Discretized Theory Systematic Speedup of Path Integrals of a Generic $N$-fold Discretized Theory

2005-08-23

arxiv.org/abs/cond-mat/0508546v3

Phys.Rev.B72:064302,2005

Physics

Condensed Matter

Statistical Mechanics

10 pages, 5 figures, biblio info corrected

Scientific paper

10.1103/PhysRevB.72.064302

We present and discuss a detailed derivation of a new analytical method that systematically improves the convergence of path integrals of a generic $N$-fold discretized theory. We develop an explicit procedure for calculating a set of effective actions $S^{(p)}$, for $p=1,2,3,...$ which have the property that they lead to the same continuum amplitudes as the starting action, but that converge to that continuum limit ever faster. Discretized amplitudes calculated using the $p$ level effective action differ from the continuum limit by a term of order $1/N^p$. We obtain explicit expressions for the effective actions for levels $p\le 9$. We end by analyzing the speedup of Monte Carlo simulations of two different models: an anharmonic oscillator with quartic coupling and a particle in a modified P\"oschl-Teller potential.

Affiliated with

Also associated with

No associations

Rating

Systematic Speedup of Path Integrals of a Generic $N$-fold Discretized 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 Systematic Speedup of Path Integrals of a Generic $N$-fold Discretized Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Systematic Speedup of Path Integrals of a Generic $N$-fold Discretized Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-165738