Relativistic Hydrodynamics of Particles with Spin 1/2

Abstract

The formulation of relativistic hydrodynamics for massive particles with spin 1 /2 is shortly reviewed. The proposed framework is based on the Wigner function treated in a semi-classical approximation or, alternatively, on a classical treatment of spin 1 /2. Several theoretical issues regarding the choice of the energy-momentum and spin tensors used to construct the hydrodynamic framework with spin are discussed in parallel.

Towards quantitative precision in the chiral crossover: Masses and fluctuation scales

“…For a similar observation in the NJL model see e.g. [37]. All low-energy effective models have in common that they have a physical UV scale above which they loose predictive power.…”

Fluid dynamics for relativistic spin-polarized media

“…A particularly appealing theoretical explanation of this effect invokes a direct coupling between the thermal vorticity and polarization, which is realized in the global equilibrium state of a rotating medium [4,5]. Recently, a new framework for relativistic perfect fluid hydrodynamics of spin-polarized media was presented [6,7,8,9], which extends the work of Refs. [4,5] to systems in local equilibrium.…”

Dynamics of Relativistic Spin-polarized Fluids

“…On top of their evolution one has to solve Eqs. (8) for the normalized components of the polarization tensor.…”

“…In the next section we study Eqs. (11), (13), (14), (15) and (8) in the case where the equilibrium is achieved only locally.…”