Complex Langevin: Boundary terms at poles

Abstract

We discuss the problem of possible boundary terms at poles of the drift in the complex Langevin method, which spoil correctness of the method. For the simplest, however paradigmatic cases we can find complete answers. Lessons for more generic cases as well as open mathematical problems are discussed.

Comments: 17 pages, 5 figures. Section 6.2. and some eferences added; several typos corrected. Version as published