Quarkyonic chiral spirals

By Toru Kojo, Y. Hidaka, Larry McLerran, R. Pisarski. 2009

184 citations recorded by the source corpus.

Abstract We consider the formation of chiral density waves in Quarkyonic matter, which is a phase where cold, dense quarks experience confining forces. We model confinement following Gribov and Zwanziger, taking the gluon propagator, in Coulomb gauge and momentum space, as ∼ 1 / ( p → 2 ) 2 . We assume that the number of colors, N c , is large, and that the quark chemical potential, μ , is much larger than renormalization mass scale, Λ QCD . To leading order in 1 / N c and Λ QCD / μ , a gauge theory with N f flavors of massless quarks in 3 + 1 dimensions naturally reduces to a gauge theory in 1 + 1 dimensions, with an enlarged flavor symmetry of SU ( 2 N f ) . Through an anomalous chiral rotation, in two dimensions a Fermi sea of massless quarks maps directly onto the corresponding theory in vacuum. A chiral condensate forms locally, and varies with the spatial position, z , as 〈 ψ ¯ exp ( 2 i μ z γ 0 γ z ) ψ 〉 . Following Schon and Thies, we term this two-dimensional pion condensate a (Quarkyonic) chiral spiral. Massive quarks also exhibit chiral spirals, with the magnitude of the oscillations decreasing smoothly with increasing mass. The power law correlations of the Wess–Zumino–Novikov–Witten model in 1 + 1 dimensions then generate strong infrared effects in 3 + 1 dimensions.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6dda37091910a0b59d0dd382406889573c185230

Citations in the corpus

• QCD at finite temperature and chemical potential from Dyson–Schwinger equations (2018, unknown): “[42, 69–71] and references therein.”
• The phase diagram of dense QCD (2010, unknown): “1 or the quarkyonic chiral spiral [214].”