Publication Date
2007
Journal or Book Title
Physics Review Letters
Abstract
We introduce a Monte Carlo scheme for sampling a bold-line diagrammatic series specifying an unknown function in terms of itself. The range of convergence of this bold(-line) diagrammatic Monte Carlo (BMC) technique is significantly broader than that of a simple iterative scheme for solving integral equations. With the BMC technique, a moderate “sign problem” turns out to be an advantage in terms of the convergence of the process. For an illustrative purpose, we solve the one-particle s-scattering problem. As an important application, we obtain the T matrix for a Fermi polaron (one spin-down particle interacting with the spin-up fermionic sea).
Volume
99
Issue
25
Recommended Citation
Prokof'ev, N and Svistunov, B, "Bold Diagrammatic Monte Carlo Technique: When the Sign Problem Is Welcome" (2007). Physics Review Letters. 1127.
Retrieved from https://scholarworks.umass.edu/physics_faculty_pubs/1127
Comments
This is the pre-published version harvested from ArXiv. The published version is located at http://prl.aps.org/abstract/PRL/v99/i25/e250201