Hydrodynamics of nuclear matter in the chiral limit |
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Authors: | Son |
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Affiliation: | Physics Department, Columbia University, New York, New York 10027 and and RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA. |
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Abstract: | 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, N(2)(f)-1 second order equations describing propagating pions and N(2)(f)-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 N(f) = 2. |
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