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Derivation of Covariant Dissipative Fluid Dynamics in the Renormalization-group Method
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We derive generic relativistic hydrodynamical equations with dissipative effects from the underlying Boltzmann equation in a mechanical and systematic way on the basis of so called the renormalization-group (RG) method. A macroscopic frame vector is introduced to specify the frame on which the macroscopic dynamics is described. Our method is so mechanical with only few ansatz that our method give a microscopic foundation of the available hydrodynamical equations, and also can be applied to make a reduction of the kinetic equations other than the simple Boltzmann equation.
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Critical dynamics of a scalar field near four spatial dimensions
The exactly dissipationless critical dynamics of a scalar field is an invariant but unstable surface of the RG flow, and any small friction drives it to Model A, with new two-loop dynamic exponents.
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