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Spin polarization and correlation of quarks from the glasma

Avdhesh Kumar, Berndt Müller, and Di-Lun Yang
Phys. Rev. D 107, 076025 – Published 26 April 2023

Abstract

We investigate the interaction of strong color fields in the glasma stage of high-energy nuclear collisions with the spins of quarks and antiquarks. We employ the perturbative solution of the quantum kinetic theory for the spin transport of (massive) quarks in a background color field governed by the linearized Yang-Mills equation and derive expressions for the quark-spin polarization and quark-antiquark spin correlation at small momentum in terms of field correlators. For the Golec-Biernat–Wusthoff dipole distribution the quark-spin polarization vanishes, but the out-of-plane spin correlation of quarks and antiquarks is nonzero. Our order-of-magnitude estimate of the correlation far exceeds that caused by vorticity effects, but does not fully explain the data for vector meson alignment. We identify possible mechanisms that could further increase the predicted spin correlation.

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  • Received 9 January 2023
  • Accepted 22 March 2023

DOI:https://doi.org/10.1103/PhysRevD.107.076025

© 2023 American Physical Society

Physics Subject Headings (PhySH)

Nuclear PhysicsParticles & Fields

Authors & Affiliations

Avdhesh Kumar1, Berndt Müller2, and Di-Lun Yang1

  • 1Institute of Physics, Academia Sinica, Taipei 11529, Taiwan
  • 2Department of Physics, Duke University, Durham, North Carolina 27708-0305, USA

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Issue

Vol. 107, Iss. 7 — 1 April 2023

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Images

  • Figure 1
    Figure 1

    Numerical results for I^1,2,3(QsX0) at Qs|r|=0.05 and θr=π/2. The same behavior is found for other parameter values.

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  • Figure 2
    Figure 2

    The origin of the rapid growth for I^3. The solid line shows the full result; the dashed line shows the result without the secular growth factors.

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  • Figure 3
    Figure 3

    The |r| dependence of I^3.

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  • Figure 4
    Figure 4

    The θr dependence of I^3 at small Qs|r|.

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  • Figure 5
    Figure 5

    The solid red, dashed blue, and dashed-dotted green curves correspond to Ω(ρ), ρ1/2Ω′′(ρ), and ρΩ′′(ρ) normalized by Qs4g4Nc2, respectively.

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