Disoriented chiral condensate in (1+1) Lorentz-invariant geometry

Abstract

We consider isospin correlations of pions produced in a relativistic nuclear collision, using an effective theory of the chiral order parameter. Our theory has (1+1) Lorentz invariance as appropriate for the central rapidity region. We argue that in certain regions of space correlations of the chiral order parameter are described by the fixed point of the (1+1) WZNW model. The corresponding anomalous dimension determines scaling of the probability to observe a correlated cluster of pions with the size of this cluster in rapidity. Though the maximal size of clusters for which this scaling is applicable is cut off by pion mass, such clusters can still include sufficiently many particles to make the scaling observable.

9 pages, LATEX, UCLA/93/TEP/10

Cited by in corpus (10)

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• Physics and Signatures of the Quark - Gluon Plasma
• Cluster Structure of Disoriented Chiral Condensates in Rapidity Distribution
• Quantum Phenomenology for the Disoriented Chiral Condensate
• Coherence and Decoherence in Radiation off Colliding Heavy Ions
• Two Dimensional Field Theory Description of Disoriented Chiral Condensate
• General Classical Solutions of Nonlinear $\sigma$-Model and Pion Charge Distribution of Disoriented Chiral Condensate
• Isospin Violation and Possible Signatures of Disoriented Chiral Condensates in Ultrarelativistic Heavy Ion Collisions
• Analytic study of disoriented chiral condensate
• Topologically nontrivial time-dependent chiral condensates