Relativistic dissipative hydrodynamics with spontaneous symmetry breaking

In this paper we consider dissipative hydrodynamic equations for systems with continuous broken symmetries. We first present the case of superfluidity, in which the symmetry U(1) is broken and then generalize to the chiral symmetry $SU(2{)}_L\times SU(2{)}_R$. The corresponding new transport coefficients are introduced.