Center clusters in full QCD at finite temperature and background magnetic field

Abstract

We study the center structure of full dynamical QCD at finite temperatures and nonzero values of the background magnetic field using continuum extrapolated lattice data. We concentrate on two particular observables characterizing center clusters: their fractality and the probability for percolation. For temperatures below and around the transition region, the fractal dimension is found to be significantly smaller than three, leading to a vanishing mean free path inside the cluster structure. This finding might be relevant for center symmetry-based models of heavy-ion collisions. In addition, the percolation probability is employed to define the transition temperature and to map out the QCD phase diagram in the magnetic field-temperature plane.

7 pages, 8 figures, added one sentence to conclusion and one footnote, as well as, 3 new references

References in corpus (7)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The QCD equation of state with dynamical quarks
• The QCD phase transition with physical-mass, chiral quarks
• The QCD equation of state in background magnetic fields
• Anisotropy of the quark-antiquark potential in a magnetic field
• Simulation of Z(3) walls and string production via bubble nucleation in a quark-hadron transition
• Fractality and other properties of center domains at finite temperature Part 1: SU(3) lattice gauge theory

Cited by in corpus (6)

• Magnetic field effects on the static quark potential at zero and finite temperature
• Confining and chiral properties of QCD in extremely strong magnetic fields
• Effects of a strong magnetic field on the QCD flux tube
• Polyakov loop fluctuations in the presence of external fields
• Persistent homology analysis of deconfinement transition in effective Polyakov-line model
• Physical properties of Polyakov loop geometrical clusters in SU(2) gluodynamics