QCD Dirac Spectrum at Finite Chemical Potential: Anomalous Effective Action, Berry Phase and Composite Fermions

2015/09/02 by Yizhuang Liu, Ismail Zahed, Liu, Yizhuang +2 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Chromodynamics and Particle Interactions #Rare-earth and actinide compounds #Strongly Correlated Electrons (cond-mat.str-el) #Topological Materials and Phenomena #cond-mat.str-el #hep-ph

paper · pdf · doi:10.48550/arxiv.1509.00812

9 pages, 2 figures; extended version

openalex publication_date 2015/09/02 · arxiv created 2016/03/15 · arxiv updated 2016/03/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that the QCD Dirac spectrum at finite chemical potential using a matrix model in the spontaneously broken phase, is amenable to a generic 2-dimensional effective action. The eigenvalues form a droplet with strong screening and plasmon oscillation. The droplet is threaded by a magnetic vortex which is at the origin of a Berry phase. For quarks in the complex or Dirac representation, the anomalous transport in the droplet of eigenvalues bear some similarities with that in droplets of composite fermions at half filling suggesting that the latters maybe Dirac fermions.

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