A practical solution to the sign problem in a matrix model for dynamical compactification

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	2014-03-01T01:34:56Z
dc.date.available	2014-03-01T01:34:56Z
dc.date.issued	2011	en
dc.identifier.issn	1126-6708	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20941
dc.subject	Matrix models	en
dc.subject	Nonperturbative effects	en
dc.subject	Spontaneous symmetry breaking	en
dc.subject.classification	Physics, Particles & Fields	en
dc.subject.other	4-DIMENSIONAL SPACE-TIME	en
dc.subject.other	YANG-MILLS INTEGRALS	en
dc.subject.other	SIMULATING COMPLEX ACTIONS	en
dc.subject.other	MEAN-FIELD APPROXIMATION	en
dc.subject.other	SPONTANEOUS BREAKING	en
dc.subject.other	ROTATIONAL SYMMETRY	en
dc.subject.other	LATTICE QCD	en
dc.subject.other	EMERGENCE	en
dc.title	A practical solution to the sign problem in a matrix model for dynamical compactification	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/JHEP10(2011)126	en
heal.identifier.secondary	http://dx.doi.org/10.1007/JHEP10(2011)126	en
heal.identifier.secondary	126	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	The matrix model formulation of superstring theory offers the possibility to understand the appearance of 4d space-time from 10d as a consequence of spontaneous breaking of the SO(10) symmetry. Monte Carlo studies of this issue is technically difficult due to the so-called sign problem. We present a practical solution to this problem generalizing the factorization method proposed originally by two of the authors (K.N.A. and J.N.). Explicit Monte Carlo calculations and large-N extrapolations are performed in a simpler matrix model with similar properties, and reproduce quantitative results obtained previously by the Gaussian expansion method. Our results also confirm that the spontaneous symmetry breaking indeed occurs due to the phase of the fermion determinant, which vanishes for collapsed configurations. We clarify various generic features of this approach, which would be useful in applying it to other statistical systems with the sign problem. © SISSA 2011.	en
heal.publisher	SPRINGER	en
heal.journalName	Journal of High Energy Physics	en
dc.identifier.doi	10.1007/JHEP10(2011)126	en
dc.identifier.isi	ISI:000296917300050	en
dc.identifier.volume	2011	en
dc.identifier.issue	10	en