On finite density QCD at large N(c)
May, 199913 pages
Published in:
- Nucl.Phys.B 573 (2000) 434-446
e-Print:
- hep-ph/9905448 [hep-ph]
Report number:
- MIT-CTP-2865
View in:
Citations per year
Abstract: (Elsevier)
Deryagin, Grigoriev, and Rubakov (DGR) have shown that in finite-density QCD at infinite N c the Fermi surface is unstable with respect to the formation of chiral waves with wavenumber twice the Fermi momentum, while the BCS instability is suppressed. We show here that at large, but finite N c , the DGR instability only occurs in a finite window of chemical potentials from above Λ QCD to μ crit ∼ exp (γ ln 2 N c +O( ln N c ln ln N c ))Λ QCD , where γ ≈0.02173. Our analysis shows that, at least in the perturbative regime, the instability occurs only at extremely large N c , N c ≳1000 N f , where N f is the number of flavors. We conclude that the DGR instability is not likely to occur in QCD with three colors, where the ground state at finite density is expected to be a color superconductor. We speculate on the possible structure of the ground state of finite-density QCD with very large N c .- quantum chromodynamics: density
- expansion 1/N: color
- quark: condensation
- critical phenomena
- stability
- potential: chemical
- quantum chromodynamics: Lambda parameter
- renormalization group
- Feynman graph: higher-order
- ladder approximation
References(16)
Figures(3)