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Phys. Rev. Lett. 84, 3771–3774 (2000)

Hydrodynamics of Nuclear Matter in the Chiral Limit

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D. T. Son
Physics Department, Columbia University, New York, New York 10027
and RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973

Received 16 December 1999; published in the issue dated 24 April 2000

Using the Poisson bracket method, we construct the hydrodynamics of nuclear matter in the chiral limit, which describes the dynamics of all low-energy degrees of freedom, including the fluid-dynamical and pionic ones. The hydrodynamic equations contain, beside five Euler equations of relativistic fluid dynamics, Nf2-1 second order equations describing propagating pions and Nf2-1 first order equations describing the advection of the vector isospin charges. We present hydrodynamic arguments showing that the pion velocity vanishes at the second order phase transition at Nf = 2.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.3771
DOI:
10.1103/PhysRevLett.84.3771
PACS:
21.65.+f, 12.39.Fe, 24.10.Nz, 47.75.+f