2000/10/06 by P. E. Kornilovitch, Kornilovitch, P. E.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-lat
paper · pdf · doi:10.48550/arxiv.cond-mat/0010100
10 pages, 6 figures, extended version with many new results
arxiv created 2001/06/06 · arxiv updated 2009/11/30
The problem of calculating real-time correlation functions is formulated in terms of an imaginary-time partial differential equation. The latter is solved analytically for the perturbed harmonic oscillator and compared with the known exact result. The first order approximation for the short-time propagator is derived and used for numerical solution of the equation by a Monte Carlo integration. In general, the method provides a reformulation of the dynamic sign problem, and is applicable to any two-time correlation function including single-particle, density-density, current-current, spin-spin, and others. The prospects of extending the technique onto multi-dimensional problems are discussed.