Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2011-01-17
Physics
High Energy Physics
High Energy Physics - Lattice
39 pages, 15 figures; typos corrected and reference added
Scientific paper
The complex Langevin method is a leading candidate for solving the so-called sign problem occurring in various physical situations. Its most vexing problem is that in some cases it produces `convergence to the wrong limit'. In the first part of the paper we go through the formal justification of the method, identify points at which it may fail and identify a necessary and sufficient criterion for correctness. This criterion would, however, require checking infinitely many identities, and therefore is somewhat academic. We propose instead a truncation to the check of a few identities; this still gives a necessary criterion, but a priori it is not clear whether it remains sufficient. In the second part we carry out a detailed study of two toy models: first we identify the reasons why in some cases the method fails, second we test the efficiency of the truncated criterion and find that it works perfectly at least in the toy models studied.
Aarts Gert
James Frank A.
Seiler Erhard
Stamatescu Ion-Olimpiu
No associations
LandOfFree
Complex Langevin: Etiology and Diagnostics of its Main Problem 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 Complex Langevin: Etiology and Diagnostics of its Main Problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complex Langevin: Etiology and Diagnostics of its Main Problem will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-286592