2009/12/31 by Toru Kojo, Yoshimasa Hidaka, Larry McLerran +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Chiral anomaly #Gauge theory #High-Energy Particle Collisions Research #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quark #cond-mat.str-el #hep-lat #hep-ph
paper · pdf · doi:10.1016/j.nuclphysa.2010.05.053
published as Nucl.Phys.A843:37-58,2010 · 28 pages, 4 figures. The relationship of our chiral spirals to those found in perturbation theory is additionally discussed. References are added.
arxiv created 2010/04/06 · openalex publication_date 2010/05/21 · arxiv updated 2014/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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/(p2)2. We assume that the number of colors, N, is large, and that the quark chemical potential, mu, is much larger than renormalization mass scale, LambdaQCD. To leading order in 1/N and LambdaQCD/mu, a gauge theory with Nf 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(2Nf). 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 < psibar exp(2 i mu z gamma0 gammaz) psi >. 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.