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A new way to deal with fermions in Monte Carlo simulations

2001/05/31 by T. Bakeyev, T Bakeyev
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #cond-mat #hep-lat

paper · pdf · doi:10.1016/s0370-2693(01)01126-1

published as Phys.Lett. B519 (2001) 277-284 · 8 pages, latex, one section added, references corrected

arxiv created 2001/08/01 · openalex publication_date 2001/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

An exact, nonlocal algorithm for Monte Carlo simulation of theories with dynamical fermions is proposed. The algorithm is based on obtaining the new configuration Ũ from the old one U by solving the equation M(Ũ)η=ωM(U)η, where M is fermionic operator, η is random Gaussian vector, and ω is random real number close to unity. This algorithm can be used for acceleration of current simulations in theories with Grassmann variables. A first test was done for SU(3) QCD with purely fermionic term in the action.

Citations