Monte Carlo simulation of lattice ${\rm CP}^{N-1}$ models at large N

Details Monte Carlo simulation of lattice ${\rm CP}^{N-1}$ models at large N Monte Carlo simulation of lattice ${\rm CP}^{N-1}$ models at large N

1992-09-28

arxiv.org/abs/hep-lat/9209025v1

Phys.Lett. B309 (1993) 139-144

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages

Scientific paper

10.1016/0370-2693(93)91517-Q

In order to check the validity and the range of applicability of the 1/N expansion, we performed numerical simulations of the two-dimensional lattice CP(N-1) models at large N, in particular we considered the CP(20) and the CP(40) models. Quantitative agreement with the large-N predictions is found for the correlation length defined by the second moment of the correlation function, the topological susceptibility and the string tension. On the other hand, quantities involving the mass gap are still far from the large-$N$ results showing a very slow approach to the asymptotic regime. To overcome the problems coming from the severe form of critical slowing down observed at large N in the measurement of the topological susceptibility by using standard local algorithms, we performed our simulations implementing the Simulated Tempering method.

Affiliated with

Also associated with

No associations

Rating

Monte Carlo simulation of lattice ${\rm CP}^{N-1}$ models at large N 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 Monte Carlo simulation of lattice ${\rm CP}^{N-1}$ models at large N, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monte Carlo simulation of lattice ${\rm CP}^{N-1}$ models at large N will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-35043