Quantum Hall States of Gluons in Quark Matter

Abstract

We have recently shown that dense quark matter possesses a color ferromagnetic phase in which a stable color magnetic field arises spontaneously. This ferromagnetic state has been known to be Savvidy vacuum in the vacuum sector. Although the Savvidy vacuum is unstable, the state is stabilized in the quark matter. The stabilization is achieved by the formation of quantum Hall states of gluons, that is, by the condensation of the gluon's color charges transmitted from the quark matter. The phase is realized between the hadronic phase and the color superconducting phase. After a review of quantum Hall states of electrons in semiconductors, we discuss the properties of quantum Hall states of gluons in quark matter in detail. Especially, we evaluate the energy of the states as a function of the coupling constant. We also analyze solutions of vortex excitations in the states and evaluate their energies. We find that the states become unstable as the gauge coupling constant becomes large, or the chemical potential of the quarks becomes small, as expected. On the other hand, with the increase of the chemical potential, the color superconducting state arises instead of the ferromagnetic state. We also show that the quark matter produced by heavy ion collisions generates observable strong magnetic field $\sim 10^{15}$ Gauss when it enters the ferromagnetic phase.

arXiv comment11 pages, 2 figures

References in corpus (6)

• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Evidence for a Goldstone Mode in a Double Layer Quantum Hall System
• Josephson Effect Without Superconductivity: Realization in Quantum Hall Bilayers
• Energy gaps and roton structure above the nu=1/2 Laughlin state of a rotating dilute Bose-Einstein condensate
• Color Ferromagnetism in Quark Matter
• Color Ferromagnetism of Quark Matter and Quantum Hall States of Gluons in SU(3) Gauge Theory

Cited by in corpus (7)

• Color Ferromagnetism of Quark Matter ; a Possible Origin of Strong Magnetic Field in Magnetars
• Stability of thin-shell interfaces inside compact stars
• Quark and pion condensation in a chromomagnetic background field
• Color Ferromagnetic Quark Matter in Neutron Stars
• Competition of Color Ferromagnetic and Superconductive States in a Quark-Gluon System
• Light Cone Quantization and Savvidy Instability in Dense Quark Matter
• Spontaneous Breakdown of U(1) symmetry in DLCQ without Zero Mode