Phase diagram of QCD with four quark flavors at finite temperature and baryon density

Azcoiti, V.; Carlo, G. Di; Galante, A.; Laliena, Víctor

doi:10.1016/j.nuclphysb.2005.06.026

Cited by 54 publications

(55 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One should keep in mind that the derivatives (22) do not commute. Instead, they obey the following commutation relations (which hold for any of the above derivatives):…”

Section: The New Formulationmentioning

confidence: 99%

“…In the high density region, other approaches based on the complex Langevin equation [11][12][13], on worm algorithms [14], on an effective 3d theory [15,16], on the histogram method [17], on the factorization or density of state method [18][19][20][21], on the generalized imaginary chemical potential method [22], on the fugacity expansion [23], on dimensional reduction [24] and the large N c limit [25,26] have been proposed and present promising aspects. However, no method has yet demonstrated reliability in the high density regime of QCD.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

New approach to the sign problem in quantum field theories: High density QCD on a Lefschetz thimble

2012

View full text Add to dashboard Cite

It is sometimes speculated that the sign problem that afflicts many quantum field theories might be reduced or even eliminated by choosing an alternative domain of integration within a complexified extension of the path integral (in the spirit of the stationary phase integration method). In this paper we start to explore this possibility somewhat systematically. A first inspection reveals the presence of many difficulties but-quite surprisingly-most of them have an interesting solution. In particular, it is possible to regularize the lattice theory on a Lefschetz thimble, where the imaginary part of the action is constant and disappears from all observables. This regularization can be justified in terms of symmetries and perturbation theory. Moreover, it is possible to design a Monte Carlo algorithm that samples the configurations in the thimble. This is done by simulating, effectively, a five dimensional system. We describe the algorithm in detail and analyze its expected cost and stability. Unfortunately, the measure term also produces a phase which is not constant and it is currently very expensive to compute. This residual sign problem is expected to be much milder, as the dominant part of the integral is not affected, but we have still no convincing evidence of this. However, the main goal of this paper is to introduce a new approach to the sign problem, that seems to offer much room for improvements. An appealing feature of this approach is its generality. It is illustrated first in the simple case of a scalar field theory with chemical potential, and then extended to the more challenging case of QCD at finite baryonic density.

show abstract

“…One should keep in mind that the derivatives (22) do not commute. Instead, they obey the following commutation relations (which hold for any of the above derivatives):…”

Section: The New Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

New approach to the sign problem in quantum field theories: High density QCD on a Lefschetz thimble

2012

View full text Add to dashboard Cite

show abstract

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. In response to the Lattice QCD simulations, many phenomenological approaches in terms of effective degrees of freedom have been developed to give interpretation of the available Lattice data and further to make prediction in the region of phase diagram that can't be reached by the Lattice QCD.…”

Section: Introductionmentioning

confidence: 99%

2+1flavor Polyakov–Nambu–Jona-Lasinio model at finite temperature and nonzero chemical potential

2008

View full text Add to dashboard Cite

We extend the Polyakov-loop improved Nambu-Jona-Lasinio (PNJL) model to 2+1 flavor case to study the chiral and deconfinement transitions of strongly interacting matter at finite temperature and nonzero chemical potential. The Polyakov-loop, the chiral susceptibility of light quarks (u and d) and the strange quark number susceptibility as functions of temperature at zero chemical potential are determined and compared with the recent results of Lattice QCD simulations. We find that there is always an inflection point in the curve of strange quark number susceptibility accompanying the appearance of the deconfinement phase, which is consistent with the result of Lattice QCD simulations. Predictions for the case at nonzero chemical potential and finite temperature are made as well. We give the phase diagram in terms of the chemical potential and temperature and find that the critical endpoint (CEP) moves down to low temperature and finally disappears with the decrease of the strength of the 't Hooft flavor-mixing interaction.

show abstract

“…In Fig. 6, left the results are contrasted with a generalised imaginary chemical potential approach [45]. They define…”

Section: The Critical Line At Small µ From the Taylor Expansionmentioning

confidence: 99%

Lattice at finite baryon density: imaginary chemical potential

Lombardo¹

2007

Proceedings of Critical Point and Onset of Deconfinement — PoS(CPOD2006)

View full text Add to dashboard Cite

I describe the results for the critical line and the thermodynamics of different phases of QCD which have been obtained by lattice simulations with an imaginary chemical potential. I review motivations and merits of the different strategies -Taylor expansion, Fourier analysis and Pade' approximants -for analytic continuation from imaginary to real chemical potential. I consider phenomenological models which can be easily extended to the complex chemical potential plane, thus affording a direct comparison with lattice data at imaginary µ: the hadronic phase and the high temperature limit are amenable to a simple description, while a rather subtle interplay between thermodynamics and critical behaviour emerges in the hot phase close to T c . The 3rd edition

show abstract

Phase diagram of QCD with four quark flavors at finite temperature and baryon density

Cited by 54 publications

References 27 publications

New approach to the sign problem in quantum field theories: High density QCD on a Lefschetz thimble

New approach to the sign problem in quantum field theories: High density QCD on a Lefschetz thimble

2+1flavor Polyakov–Nambu–Jona-Lasinio model at finite temperature and nonzero chemical potential

Lattice at finite baryon density: imaginary chemical potential

Contact Info

Product

Resources

About