Bold Diagrammatic Monte Carlo: When Sign Problem is Welcome
arXiv:cond-mat/0702555 · doi:10.1103/PhysRevLett.99.250201
Abstract
We introduce a Monte Carlo scheme for sampling bold-line diagrammatic series specifying an unknown function in terms of itself. The range of convergence of this bold(-line) diagrammatic Monte Carlo (BMC) is significantly broader than that of a simple iterative scheme for solving integral equations. With BMC technique, a moderate "sign problem" turns out to be an advantage in terms of the convergence of the process. For an illustrative example, we solve one-particle s-scattering problem. As an important application, we obtain T-matrix for a fermipolaron (one spin-down particle interacting with the spin-up fermionic sea).
4 pages, 2 figures, revtex4
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