Spin alignment of vector mesons in local equilibrium by Zubarev's approach

2024/12/27 by Shi-Zheng Yang, Yang, Shi-Zheng, Xin-Qing Xie +7 · 1 citation
Physics and Astronomy · #Quantum many-body systems #Quantum chaos and dynamical systems #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2412.19400

Abstract

We compute the 00 element of the spin density matrix, denoted as ρ₀₀ and called the spin alignment, up to the second order of the gradient expansion in local equilibrium by Zubarev's approach. In the first order, we obtain ρ₀₀=1/3, meaning that the contributions from thermal vorticity and shear stress tensor are vanishing. The non-vanishing contributions to ρ₀₀-1/3 appear in the second order of gradients in the Belinfante and canonical cases. We also discuss the properties of the spin density matrix under the time reversal transformation. The effective transport coefficient for the spin alignment induced by the thermal shear stress tensor is T-odd in the first order, implying that the first order effect is dissipative.

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