2012

EoS of finite density QCD with Wilson fermions by Multi-Parameter Reweighting and Taylor expansion

Nagata, Keitaro, Nakamura, Atsushi

Understand

The equation of state (EoS), quark number density and susceptibility at nonzero quark chemical potential $\mu$ are studied in lattice QCD simulations with a clover-improved Wilson fermion of 2-flavors and RG-improved gauge action.

To access nonzero $\mu$, we employ two methods : a multi-parameter reweighting (MPR) in $\mu$ and $\beta$ and Taylor expansion in $\mu/T$.
The use of a reduction formula for the Wilson fermion determinant enables to study the reweighting factor in MPR explicitly and heigher-order coefficients in Taylor expansion free from errors of noise method, although calculations are limited to small lattice size.
As a consequence, we can study the reliability of the thermodynamical quantities through the consistency of the two methods, each of which has different origin of the application limit.

Built on

P. E. Gibbs, THE FERMION PROPAGATOR MATRIX IN LATTICE QCD
1986
Earlier work this paper cites.
A. Ferrenberg and R. Swendsen, New Monte Carlo Technique for Studying Phase Transitions
1988
Earlier work this paper cites.
A. M. Ferrenberg and R. H. Swendsen, Optimized Monte Carlo analysis
1989
Earlier work this paper cites.
I. M. Barbour and A. J. Bell, Complex zeros of the partition function for lattice QCD
1992
Earlier work this paper cites.
A. Hasenfratz and D. Toussaint, Canonical ensembles and nonzero density quantum chromodynamics
1992
Earlier work this paper cites.
I. M. Barbour, S. E. Morrison, E. G. Klepfish, J. B. Kogut, and M.-P. Lombardo, Results on finite density QCD
1998
Earlier work this paper cites.
Z. Fodor and S. Katz, A New method to study lattice QCD at finite temperature and chemical potential
2002
Earlier work this paper cites.
Z. Fodor and S. Katz, Lattice determination of the critical point of QCD at finite T and mu
2002
Earlier work this paper cites.
C. Allton, S. Ejiri, S. Hands, O. Kaczmarek, F. Karsch, et. al
2002
Earlier work this paper cites.

Similar

S. Muroya, A. Nakamura, C. Nonaka, and T. Takaishi, Lattice QCD at finite density: An Introductory review
2003
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Z. Fodor, S. Katz, and K. Szabo, The QCD equation of state at nonzero densities: Lattice result
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C. Allton, S. Ejiri, S. Hands, O. Kaczmarek, F. Karsch, et. al
2003
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Z. Fodor and S. Katz, Critical point of QCD at finite T and mu, lattice results for physical quark masses
2004
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S. Ejiri, Remarks on the multiparameter reweighting method for the study of lattice QCD at nonzero temperature and density
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F. Csikor, G. Egri, Z. Fodor, S. Katz, K. Szabo, et. al
2004
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A. Borici, Reweighting with stochastic determinants
2004
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C. Allton, M. Doring, S. Ejiri, S. Hands, O. Kaczmarek, et. al
2005
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R. Gavai and S. Gupta, The Critical end point of QCD
2005
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Z. Fodor and S. Katz, The Phase diagram of quantum chromodynamics
Original
Cited in the paper.
WHOT-QCD collaboration
Original
Cited in the paper.

Then

C. Schmidt, Lattice QCD at finite density
2006
Later among the works it cites.
S. Kratochvila and P. de Forcrand, The canonical approach to finite density QCD
2006
Later among the works it cites.
P. de Forcrand and S. Kratochvila, Finite density QCD with a canonical approach
2006
Later among the works it cites.
P. de Forcrand, Simulating QCD at finite density
Original
2009
Later among the works it cites.
B.-J. Schaefer, M. Wagner, and J. Wambach, QCD thermodynamics with effective models
Original
2009
Later among the works it cites.
WHOT-QCD Collaboration
Original
2010
Later among the works it cites.
K. Nagata and A. Nakamura, Wilson Fermion Determinant in Lattice QCD
Original
2010
Later among the works it cites.
A. Alexandru and U. Wenger, QCD at non-zero density and canonical partition functions with Wilson fermions
Original
2011
Later among the works it cites.
K. Nagata and A. Nakamura, Imaginary Chemical Potential Approach for the Pseudo-Critical Line in the QCD Phase Diagram with Clover-Improved Wilson Fermions
Original
2011
Later among the works it cites.

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