The XY model at finite chemical potential using complex Langevin dynamics

Details The XY model at finite chemical potential using complex Langevin dynamics The XY model at finite chemical potential using complex Langevin dynamics

2010-09-29

arxiv.org/abs/1009.5838v1

PoS Lattice2010:321,2010

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented by Frank A. James at the XXVIII International Lattice Symposium, Villasimius, Italy, June 2010. 7 pages, 7 figu

Scientific paper

The three-dimensional XY model is studied at finite chemical potential using complex Langevin dynamics. An adaptive stepsize algorithm is implemented to cure the problem of runaway solutions that appears when using a constant stepsize. The validity of complex Langevin dynamics is tested against calculations using imaginary chemical potential and the world line formalism. While complex Langevin dynamics is found to work correctly at larger beta, it fails for smaller beta, in the region of the phase diagram corresponding to the disordered phase. Diagnostic tests are developed to identify behaviour symptomatic of incorrect convergence. These indicate that the failure does not depend on the severeness of the sign problem, but has a different origin.

Affiliated with

Also associated with

No associations

Rating

The XY model at finite chemical potential using complex Langevin dynamics 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 The XY model at finite chemical potential using complex Langevin dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The XY model at finite chemical potential using complex Langevin dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-523382