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Exact spin polarization of massive and massless particles in relativistic fluids at global equilibrium
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abstract
We present the exact form of the spin polarization vector and the spin density matrix of massive and massless free particles of any spin and helicity at general global equilibrium in a relativistic fluid with non-vanishing thermal vorticity, thus extending the known expression at the linear order. The exact form is obtained by means of the analytic continuation of the relativistic density operator to imaginary thermal vorticity and the resummation of the obtained series. The phenomenological implications for the polarization of the $\Lambda$ hyperon in relativistic heavy-ion collisions are addressed.
Forward citations
Cited by 4 Pith papers
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Thermal Gauge Theory for a Rotating Plasma
A path-integral framework extends thermal field theory with rotation and chemical potentials to all gauge theories, with generalized KMS conditions and closed-form gauge and ghost propagators.
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Freezeout at constant energy density and spin polarization in heavy-ion collisions
Lambda hyperon spin polarization on an iso-energy density freezeout surface is derived in linear response theory, with corrections to isothermal freezeout controlled by a small thermodynamic coefficient C.
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Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium
Vector meson spin alignment at local equilibrium is shown to arise only at second order in thermodynamic gradients, with explicit analytic formulas for the contributing terms.
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Spin alignment of vector mesons in local equilibrium by Zubarev's approach
The spin alignment rho00-1/3 vanishes at first order in gradients in local equilibrium, with nonzero contributions first appearing at second order, in a pseudo-gauge dependent way.
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