A Schwinger-Keldysh effective field theory for the chiral phase transition, with chiral charges and condensate as dynamical variables, is constructed and its coefficients are computed in a modified AdS/QCD model, with stochastic equations resembling a non-Abelian version of model F.
Hydrodynamics of nuclear matter in the chiral limit
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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, Nf^2-1 second order equations describing propagating pions and Nf^2-1 first order equations describing the advection of the baryonic vector isospin charges. We present hydrodynamic arguments showing that the pion velocity vanishes at the second order phase transition at Nf=2.
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Chiral phase transition: effective field theory and holography
A Schwinger-Keldysh effective field theory for the chiral phase transition, with chiral charges and condensate as dynamical variables, is constructed and its coefficients are computed in a modified AdS/QCD model, with stochastic equations resembling a non-Abelian version of model F.