The Factorization Method for Monte Carlo Simulations of Systems With a Complex Action
J. Ambjorn (Niels Bohr), K. N. Anagnostopoulos (U. Crete), J., Nishimura (KEK), J.J.M. Verbaarschot (SUNY, Stony Brook)
TL;DR
This paper introduces a factorization method for Monte Carlo simulations of systems with complex actions, effectively addressing the overlap problem and enabling finite size scaling extrapolations for large systems.
Contribution
The paper presents a novel factorization approach that is broadly applicable to complex action systems and solves the overlap problem in Monte Carlo simulations.
Findings
Applicable to any complex action system
Provides a solution to the overlap problem
Enables finite size scaling extrapolation
Abstract
We propose a method for Monte Carlo simulations of systems with a complex action. The method has the advantages of being in principle applicable to any such system and provides a solution to the overlap problem. In some cases, like in the IKKT matrix model, a finite size scaling extrapolation can provide results for systems whose size would make it prohibitive to simulate directly.
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