Noncommutativity of the zero chemical potential limit and the thermodynamic limit in finite density systems

Ambjorn, J; Anagnostopoulos, KN; Nishimura, J; Verbaarschot, JJM

dc.contributor.author	Ambjorn, J	en
dc.contributor.author	Anagnostopoulos, KN	en
dc.contributor.author	Nishimura, J	en
dc.contributor.author	Verbaarschot, JJM	en
dc.date.accessioned	2014-03-01T01:21:08Z
dc.date.available	2014-03-01T01:21:08Z
dc.date.issued	2004	en
dc.identifier.issn	0556-2821	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16079
dc.subject	Chemical Potential	en
dc.subject	Factorization Method	en
dc.subject	Monte Carlo Simulation	en
dc.subject	Qualitative Modeling	en
dc.subject	Random Matrix Theory	en
dc.subject	Thermodynamic Limit	en
dc.subject	Non Commutative	en
dc.subject.classification	Astronomy & Astrophysics	en
dc.subject.classification	Physics, Particles & Fields	en
dc.subject.other	article	en
dc.subject.other	density	en
dc.subject.other	mathematical analysis	en
dc.subject.other	mathematical model	en
dc.subject.other	Monte Carlo method	en
dc.subject.other	thermodynamics	en
dc.title	Noncommutativity of the zero chemical potential limit and the thermodynamic limit in finite density systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1103/PhysRevD.70.035010	en
heal.identifier.secondary	http://dx.doi.org/10.1103/PhysRevD.70.035010	en
heal.identifier.secondary	035010	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	Monte Carlo simulations of finite density systems are often plagued by the complex action problem. We point out that there exists certain noncommutativity in the zero chemical potential limit and the thermodynamic limit when one tries to study such systems by reweighting techniques. This is demonstrated by explicit calculations in a Random Matrix Theory, which is thought to be a simple qualitative model for finite density QCD. The factorization method allows us to understand how the noncommutativity, which appears at the intermediate steps, cancels in the end results for physical observables. In the recent reweighting type of approaches to QCD in the small mu regime, we expect a transition when the volume reaches V(tr)similar or equal toconst./mu(2), which however may not be in the range of current lattice calculations.	en
heal.publisher	AMERICAN PHYSICAL SOC	en
heal.journalName	Physical Review D - Particles, Fields, Gravitation and Cosmology	en
dc.identifier.doi	10.1103/PhysRevD.70.035010	en
dc.identifier.isi	ISI:000223859600081	en
dc.identifier.volume	70	en
dc.identifier.issue	3	en
dc.identifier.spage	035010	en
dc.identifier.epage	1-035010-7	en