Open AccessThe factorization method for systems with a complex action. A test in Random Matrix Theory for finite density QCD
Author(s) -
J. Ambjørn,
Κωνσταντίνος Αναγνωστόπουλος,
Jun Nishimura,
J. J. M. Verbaarschot
Publication year - 2002
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2002/10/062
Subject(s) - quantum chromodynamics , factorization , random matrix , action (physics) , statistical physics , observable , monte carlo method , mathematics , thermodynamic limit , effective action , matrix (chemical analysis) , limit (mathematics) , physics , particle physics , mathematical physics , mathematical analysis , quantum mechanics , algorithm , eigenvalues and eigenvectors , statistics , materials science , composite material
Monte Carlo simulations of systems with a complex action are known to beextremely difficult. A new approach to this problem based on a factorizationproperty of distribution functions of observables has been proposed recently.The method can be applied to any system with a complex action, and iteliminates the so-called overlap problem completely. We test the new approachin a Random Matrix Theory for finite density QCD, where we are able toreproduce the exact results for the quark number density. The achieved systemsize is large enough to extract the thermodynamic limit. Our results provide aclear understanding of how the expected first order phase transition is inducedby the imaginary part of the action.Comment: 27 pages, 25 figure
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