On the convergence of complex Langevin dynamics: the three-dimensional XY model at finite chemical potential

Details On the convergence of complex Langevin dynamics: the three-dimensional XY model at finite chemical potential On the convergence of complex Langevin dynamics: the three-dimensional XY model at finite chemical potential

2010-05-19

arxiv.org/abs/1005.3468v2

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, several eps figures; clarification and one figure added, to appear in JHEP

Scientific paper

The three-dimensional XY model is studied at finite chemical potential using complex Langevin dynamics. The validity of the approach is probed at small chemical potential using imaginary chemical potential and continuity arguments, and at larger chemical potential by comparison with the world line method. While complex Langevin works for larger beta, we find that it fails for smaller beta, in the region of the phase diagram corresponding to the disordered phase. Diagnostic tests are developed to identify symptoms correlated with incorrect convergence. We argue that the erroneous behaviour at smaller beta is not due to the sign problem, but rather resembles dynamics observed in complex Langevin simulations of simple models with complex noise.

Affiliated with

Also associated with

No associations

Rating

On the convergence of complex Langevin dynamics: the three-dimensional XY model at finite chemical potential 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 On the convergence of complex Langevin dynamics: the three-dimensional XY model at finite chemical potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the convergence of complex Langevin dynamics: the three-dimensional XY model at finite chemical potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-479990