The Instanton Molecule Liquid and "Sticky Molasses" Above T_c

Abstract

The main objective of this work is to explore the evolution in the structure of the quark-antiquark bound states in going down in the chirally restored phase from the so-called "zero binding points" T_zb to the QCD critical temperature T_c at which the Nambu-Goldstone and Wigner-Weyl modes meet. In doing this, we adopt the idea recently introduced by Shuryak and Zahed for charmed $\bar{c}c$, light-quark $\bar{q}q$ mesons $\pi ,\sigma ,\rho ,A_1$ and gluons that at T_zb, the quark-antiquark scattering length goes through infinity at which conformal invariance is restored, thereby transforming the matter into a near perfect fluid behaving hydrodynamically, as found at RHIC. We show that the binding of these states is accomplished by the combination of (i) the color Coulomb interaction, (ii) the relativistic effects, and (iii) the interaction induced by the instanton-anti-instanton molecules. The spin-spin forces turned out to be small. While near T_zb all mesons are large-size nonrelativistic objects bound by Coulomb attraction, near T_c they get much more tightly bound, with many-body collective interactions becoming important and making the $\sigma$ and $\pi$ masses approach zero (in the chiral limit). The wave function at the origin grows strongly with binding, and the near-local four-Fermi interactions induced by the instanton molecules play an increasingly more important role as the temperature moves downward toward T_c.

Contribution to QM2004 proceedings, 4 pages

References in corpus (6)

• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Measurement of interaction energy near a Feshbach resonance in a 6Li Fermi gas
• The \bar q q Bound States and Instanton Molecule at T >~ T_c
• A Study of Charmonium Systems across the Deconfinement Transition
• Nature of the Chiral Restoration Transition in QCD

Cited by in corpus (6)

• New Forms of QCD Matter Discovered at RHIC
• Hydrodynamical evolution near the QCD critical end point
• Quark Spectrum above but near Critical Temperature of Chiral Transition
• Possible Resolutions of the D-Paradox
• Ultra-light Glueballs in Quark-Gluon Plasma
• Comparison of Models of Critical Opacity in the Quark-Gluon Plasma