TY  - JOUR
AU  - Scherzer, M.
AU  - Seiler, E.
AU  - Sexty, D.
AU  - Stamatescu, I.-O.
TI  - Controlling complex Langevin simulations of lattice models by boundary term analysis
JO  - Physical review / D
VL  - 101
IS  - 1
SN  - 2470-0010
CY  - Melville, NY
PB  - Inst.812068
M1  - FZJ-2020-04309
SP  - 014501
PY  - 2020
AB  - One reason for the well-known fact that the complex Langevin (CL) method sometimes fails to converge or converges to the wrong limit has been identified long ago: it is insufficient decay of the probability density either near infinity or near poles of the drift, leading to boundary terms that spoil the formal argument for correctness. To gain a deeper understanding of this phenomenon, in a previous paper [Phys. Rev. D 99, 014512 (2019)] we have studied the emergence of such boundary terms thoroughly in a simple model, where analytic results can be compared with numerics. Here we continue this type of analysis for more physically interesting models, focusing on the boundaries at infinity. We start with Abelian and non-Abelian one-plaquette models, and then we proceed to a Polyakov chain model and finally to high density QCD and the 3D XY model. We show that the direct estimation of the systematic error of the CL method using boundary terms is in principle possible.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000505988400002
DO  - DOI:10.1103/PhysRevD.101.014501
UR  - https://juser.fz-juelich.de/record/886181
ER  -