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Relativistic spin dynamics for vector mesons
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abstract
We propose a relativistic theory for spin density matrices of vector mesons based on Kadanoff-Baym equations in the closed-time-path formalism. The theory puts the calculation of spin observables such as the spin density matrix element $\rho_{00}$ for vector mesons on a solid ground. Within the theory we formulate $\rho_{00}$ for $\phi$ mesons into a factorization form in separation of momentum and space-time variables. We argue that the main contribution to $\rho_{00}$ at lower energies should be from the $\phi$ fields that can polarize the strange quark and antiquark in the same way as electromagnetic fields. The key observation is that there is correlation inside the $\phi$ meson wave function between the $\phi$ field that polarizes the strange quark and that polarizes the strange antiquark. This is reflected by the fact that the contributions to $\rho_{00}$ are all in squares of fields which are nonvanishing even if the fields may strongly fluctuate in space-time. The fluctuation of strong force fields can be extracted from $\rho_{00}$ of quarkonium vector mesons as links to fundamental properties of quantum chromodynamics.
Forward citations
Cited by 7 Pith papers
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Vector-Meson Spin Alignment from Anisotropic Quark or Hadron Coalescence
Anisotropic quark or hadron coalescence in heavy-ion collisions generates vector-meson spin alignment whose sign distinguishes bare-vector from spin-orbit-coupled production vertices.
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Is the shear induced spin polarization non-dissipative?
Shear-induced spin polarization leaves the momentum-integrated entropy production rate unchanged in chiral kinetic theory, but Zubarev's linear response suggests a dissipative origin.
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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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Transverse and longitudinal spin alignment from color fields in heavy ion collisions
Spin alignment of phi mesons along the beam direction is predicted to exceed 1/3 for glasma fields and to show a sign-changing rapidity pattern for isotropic QGP color fields, offering a discriminating observable.
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Experimental Search for the Chiral Magnetic Effect in Relativistic Heavy-Ion Collisions: A Perspective
The chiral magnetic effect in heavy-ion collisions remains unconfirmed, with current data giving a 2.9-sigma hint in Au+Au and an upper limit near 10% in isobar collisions.
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Spin alignment of vector mesons in heavy-ion collision
A proceedings review in which the authors argue that strong-field fluctuations, not shear stress, explain the measured phi meson spin alignment in heavy-ion collisions.
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