Anomaly Induced Domain Formation of Disoriented Chiral Condensates

Abstract

We discuss the effect of chiral anomaly as a possible mechanism for triggering formation of domains of disoriented chiral condensate (DCC) in relativistic heavy ion collisions. The anomalous ${\pi }^0\to 2\gamma$ coupling and the strong, Lorentz contracted electromagnetic fields of the heavy ions combine to produce the ``anomaly kick'' to the field configuration of the neutral pion field. We implement the effect of anomaly kick in our numerical simulation of the linear sigma model in a schematic way which preserves its characteristic features: the effect is coherent over a large region of space but is opposite in sign above and below the ion scattering plane. We demonstrate by detailed simulations with longitudinal expansion that the DCC domain formation is dramatically enhanced by the anomaly kick in spite of its small absolute magnitude. We examine the behavior of various physical quantities such as pion fields, the axial vector currents, and their correlation functions. Our results also provide useful insight into the mechanism and properties of DCC domain formation, in general. Finally, we discuss some experimental observables which can signal the anomaly induced formation of DCC.

arXiv comment53 pages (REVTEX), 21 figures. Some figures are in color. To see figures in color, in particular for Figs. 4, 5, 17-19, is helpful for better understanding the features of DCC domain formation discussed in the text

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• Electromagnetic triangle anomaly and neutral pion condensation in QCD vacuum
• Initial Time Singularities in Non-Equilibrium Evolution of Condensates and Their Resolution in the Linearized Approximation
• Dynamical Pion Production via Parametric Resonance from Disoriented Chiral Condensate
• Anomalous Pseudoscalar-Photon Vertex In and Out of Equilibrium
• Experimental Signatures of Anomaly Induced DCC Formation
• Nonequilibrium chiral dynamics by the time dependent variational approach with squeezed states
• DCC Dynamics in (2+1)D-O(3) model
• Disoriented chiral condensate in presence of dissipation and noise
• Gamma-ray bursts: a Centauro's cry?
• Relativistic heavy ion collisions --- Where are we now? Where do we go?
• Effects of mode-mode and isospin-isospin correlations on domain formation of disoriented chiral condensates