Complex langevin equation and the many-fermion problem

Chris Adami, Steven E. Koonin

Research output: Contribution to journalArticlepeer-review


We study the utility of a complex Langevin (CL) equation as an alternative for the Monte Carlo (MC) procedure in the evaluation of expectation values occurring in fermionic many-body problems. We find that a CL approach is natural in cases where nonpositive definite probability measures occur, and remains accurate even when the corresponding MC calculation develops a severe "sign problem." While the convergence of CL averages cannot be guaranteed in principle, we show how convergent results can be obtained in two simple quantum mechanical models, as well as a nontrivial schematic shell model path integral with multiple particles and a noncommuting interaction (the Lipkin model).

Original languageEnglish (US)
Article number034319
Pages (from-to)343191-3431910
Number of pages3088720
JournalPhysical Review C - Nuclear Physics
Issue number3
StatePublished - Mar 2001

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of 'Complex langevin equation and the many-fermion problem'. Together they form a unique fingerprint.

Cite this