Complex saddle points in finite-density QCD

@article{Nishimura2015ComplexSP,
  title={Complex saddle points in finite-density QCD},
  author={Hiromichi Nishimura and Michael C. Ogilvie and Kamal Pangeni},
  journal={arXiv: High Energy Physics - Phenomenology},
  year={2015}
}
We consider complex saddle points in QCD at finite temperature and density, which are constrained by symmetry under charge and complex conjugations. This approach naturally incorporates color neutrality, and the Polyakov loop and the conjugate loop at the saddle point are real but not identical. Moreover, it can give rise to a complex mass matrix associated with the Polyakov loops, reflecting oscillatory behavior in color-charge densities. This aspect of the phase structure appears to be… 

Figures from this paper

References

SHOWING 1-10 OF 24 REFERENCES
Complex saddle points and disorder lines in QCD at finite temperature and density
The properties and consequences of complex saddle points are explored inphenomenological models of QCD at non-zero temperature and density. Such saddlepoints are a consequence of the sign problem,
QCD with chemical potential in a small hyperspherical box
To leading order in perturbation theory, we solve QCD, defined on a small three sphere in the large N and Nf limit, at finite chemical potential and map out the phase diagram in the (μ, T) plane. The
Simulating QCD at finite density
In this review, I recall the nature and the inevitability of t he “sign problem” which plagues attempts to simulate lattice QCD at finite baryon density. I pre sent the main approaches used to
Weak coupling large-N transitions at finite baryon density
A bstractWe study thermodynamics of free SU(N) gauge theory with a large number of colours and flavours on a three-sphere, in the presence of a baryon number chemical potential. Reducing the system
QCD at finite density
Developments in QCD at finite density are reviewed. I begin by discussing some new algorithms which have been applied to other theories with sign problems. Then I discuss the method of analytic
Numerical study of the two color attoworld
We consider QCD at very low temperatures and non-zero quark chemical potential from lattice Monte Carlo simulations of the two-color theory in a very small spatial volume (the attoscale). In this
New phases ofSU(3)andSU(4)at finite temperature
The addition of an adjoint Polyakov loop term to the action of a pure gauge theory at finite temperature leads to new phases of SU(N) gauge theories. For SU(3), a new phase is found which breaks Z(3)
Gauge dynamics in the PNJL model: Color neutrality and Casimir scaling
Abstract We discuss a gauge-invariant prescription to take the mean-field approximation self-consistently in the PNJL model (Nambu–Jona-Lasinio model with the Polyakov loop). We first address the
Deconfinement transitions of large N QCD with chemical potential at weak and strong coupling
A bstractWe calculate the deconfinement line of transitions for large Nc QCD at finite temperature and chemical potential in two different regimes: weak coupling in the continuum, and, strong
PT symmetry in classical and quantum statistical mechanics
  • Peter N. Meisinger, M. Ogilvie
  • Physics, Mathematics
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2013
-symmetric Hamiltonians and transfer matrices arise naturally in statistical mechanics. These classical and quantum models often require the use of complex or negative weights and thus fall outside
...
1
2
3
...