KEK素粒子原子核研究所・理論セミナー/本郷氏

概要

Abstract:
Hydrodynamics is a low-energy effective theory which describes a
long-distance and long-time behavior of many-body systems. It is
applicable
not only to a non-relativistic weakly-interacting dilute gas but also a
relativistic strongly-interacting dense liquid such as the quark-gluon
plasma created in ultra relativistic heavy-ion collision experiments.
Although relativistic hydrodynamics itself is well-established formalism,
its foundation from underlying microscopic theories, or quantum field
theories, remains unclear. In this study, based on the recent
development
of non-equilibrium statistical mechanics, we provide the field-
theoretical
derivation of the relativistic Navier-Stokes equation [1]. We show that
the
procedure to derive hydrodynamic equations is similar to the so-called
renormalized/optimized perturbation theory. Furthermore, we give a
path-integral formula for local thermal equilibrium which results in the
emergence of thermally induced curved spacetime [2]. Based on these
results, we perform the derivative expansion and derive the first-order
hydrodynamic equation (the Navier-Stokes equation) with the Green-Kubo
formulas for transport coefficients.

References:
[1] T. Hayata, Y. Hidaka, M. Hongo, and T. Noumi, Phys. Rev. D 92,
065008
(2015).
[1] M. Hongo, Annals of Physics, 383, 1 (2017)