Complex zeros of the partition function for lattice QCD

Barbour, I.M.; Bell, A. J.

doi:10.1016/0550-3213(92)90324-5

Cited by 61 publications

(71 citation statements)

References 14 publications

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“…The most popular technique to study at non-zero µ q is the reweighting method; performing simulations at Re(µ q ) = 0, and then modify the Boltzmann weight at the step of measurement of observables [3][4][5][6]. The Glasgow method [7] is one of the reweighting methods. A composite (Glasgow) reweighting method has recently been proposed by [8].…”

Section: Introductionmentioning

confidence: 99%

Remarks on the multiparameter reweighting method for the study of lattice QCD at nonzero temperature and density

Ejiri

2004

Phys. Rev. D

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We comment on the reweighting method for the study of finite density lattice QCD. We discuss the applicable parameter range of the reweighting method for models which have more than one simulation parameter. The applicability range is determined by the fluctuations of the modification factor of the Boltzmann weight. In some models having a first order phase transition, the fluctuations are minimized along the phase transition line if we assume that the pressure in the hot and the cold phase is balanced at the first order phase transition point. This suggests that the reweighting method with two parameters is applicable in a wide range for the purpose of tracing out the phase transition line in the parameter space. To confirm the usefulness of the reweighting method for 2 flavor QCD, the fluctuations of the reweighting factor are measured by numerical simulations for the cases of reweighting in the quark mass and chemical potential directions. The relation with the phase transition line is discussed. Moreover, the sign problem caused by the complex phase fluctuations is studied.11.15. Ha, 12.38.Gc, 12.38.Mh

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Section: Introductionmentioning

confidence: 99%

Remarks on the multiparameter reweighting method for the study of lattice QCD at nonzero temperature and density

Ejiri

2004

Phys. Rev. D

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“…Attempts to simulate field theories with complex actions, such as QCD with a nonzero chemical potential, include 1. Langevin algorithms, 2. the Glasgow algorithm pioneered by I. Barbour [4], and 3. analytic extensions of simulations at imaginary chemical potential. None of these methods has succeeded.…”

Section: Introductionmentioning

confidence: 99%

Symmetries and spectrum of SU(2) lattice gauge theory at finite chemical potential

et al. 1999

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We study SU(2) Lattice Gauge Theory with dynamical fermions at nonzero chemical potential µ. The symmetries special to SU(2) for staggered fermions on the lattice are discussed explicitly and their relevance to spectroscopy and condensates at non-zero chemical potential are considered. Using the molecular dynamics algorithm on small lattices we find qualitative changes in the theory's spectroscopy at small and large values of µ. This preliminary study should lay the groundwork for future large scale simulations.

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“…The whole series of gauge fields is gauge invariant in every order in the µ expansion, i.e. n S (n,s) is gauge invariant for all s. In the case of the minimal effective action, the contributions S (2,2) and S (3,1) are independently gauge invariant, and HTL preserves this feature.…”

Section: Non-perturbative Qcdmentioning

confidence: 99%

“…For finite chemical potential, the fermion determinant matrix is nonpositive definite, so it is not possible to perform Monte-Carlo simulations [ 1,2]. The Glasgow method [ 3] and rewheighting techniques [ 4] have made great advances in the description of phase transitions on the lattice, considering a set of parameters near the transition line. However, the problem is still far from being solved.…”

Section: Introductionmentioning

confidence: 99%

QCD Effective action at high temperature and small chemical potential

Villavicencio

Fraga

2007

Nuclear Physics A

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We present a construction of an effective Yang-Mills action for QCD, from the expansion of the fermionic determinant in terms of powers of the chemical potential at high temperature for the case of massless quarks. We analyze this expansion in the perturbative region and find that it gives extra spurious information. We propose for the non-perturbative sector a simplified effective action which, in principle, contains only the relevant information.

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Complex zeros of the partition function for lattice QCD

Cited by 61 publications

References 14 publications

Remarks on the multiparameter reweighting method for the study of lattice QCD at nonzero temperature and density

Remarks on the multiparameter reweighting method for the study of lattice QCD at nonzero temperature and density

Symmetries and spectrum of SU(2) lattice gauge theory at finite chemical potential

QCD Effective action at high temperature and small chemical potential

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