General approach to the sign problem: Factorization method with multiple observables
- Physics Department, National Technical University of Athens, Zografou Campus, GR-15780 Athens (Greece)
- Institute for Fundamental Sciences, Setsunan University, 17-8 Ikeda Nakamachi, Neyagawa, Osaka, 572-8508 (Japan)
- KEK Theory Center, High Energy Accelerator Research Organization, Tsukuba 305-0801 (Japan)
The sign problem is a notorious problem, which occurs in Monte Carlo simulations of a system with the partition function whose integrand is not real positive. The basic idea of the factorization method applied on such a system is to control some observables in order to determine and sample efficiently the region of configuration space which gives important contribution to the partition function. We argue that it is crucial to choose appropriately the set of the observables to be controlled in order for the method to work successfully in a general system. This is demonstrated by an explicit example, in which it turns out to be necessary to control more than one observable. Extrapolation to large system size is possible due to the nice scaling properties of the factorized functions, and known results obtained by an analytic method are shown to be consistently reproduced.
- OSTI ID:
- 21537438
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 83, Issue 5; Other Information: DOI: 10.1103/PhysRevD.83.054504; (c) 2011 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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