General approach to the sign problem: Factorization method with multiple observables

Anagnostopoulos, KN; Azuma, T; Nishimura, J

dc.contributor.author	Anagnostopoulos, KN	en
dc.contributor.author	Azuma, T	en
dc.contributor.author	Nishimura, J	en
dc.date.accessioned	2014-03-01T01:35:46Z
dc.date.available	2014-03-01T01:35:46Z
dc.date.issued	2011	en
dc.identifier.issn	1550-7998	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21183
dc.subject.classification	Astronomy & Astrophysics	en
dc.subject.classification	Physics, Particles & Fields	en
dc.subject.other	IIB MATRIX MODEL	en
dc.subject.other	4-DIMENSIONAL SPACE-TIME	en
dc.subject.other	MEAN-FIELD APPROXIMATION	en
dc.subject.other	FINITE-TEMPERATURE	en
dc.subject.other	LATTICE QCD	en
dc.subject.other	EMERGENCE	en
dc.title	General approach to the sign problem: Factorization method with multiple observables	en
heal.type	journalArticle	en
heal.identifier.primary	10.1103/PhysRevD.83.054504	en
heal.identifier.secondary	http://dx.doi.org/10.1103/PhysRevD.83.054504	en
heal.identifier.secondary	054504	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	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. © 2011 American Physical Society.	en
heal.publisher	AMER PHYSICAL SOC	en
heal.journalName	Physical Review D - Particles, Fields, Gravitation and Cosmology	en
dc.identifier.doi	10.1103/PhysRevD.83.054504	en
dc.identifier.isi	ISI:000288596200002	en
dc.identifier.volume	83	en
dc.identifier.issue	5	en