Static quark-antiquark interactions in rotating SU(3) gluodynamics
Open Access
- 4 November 2026
- journal article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 114 (9)
Abstract
We study static quark-antiquark interactions in rotating SU(3) gluodynamics using quenched lattice simulations at imaginary angular velocity. At zero temperature, we extract the static potential from Wilson loops for quark-antiquark pairs aligned with the rotation axis, for transverse pairs with one source on the rotation axis, and for symmetric transverse pairs across the rotation axis. Within the present accuracy, no significant rotation dependence or anisotropy is observed in the zero-temperature potential. At finite temperature, imaginary rotation suppresses the color-averaged free energies obtained from Polyakov-loop correlators in both longitudinal and transverse geometries. Axial-diagonal comparisons are used to identify a bulk region where open-boundary artifacts are reduced. In this region, the large-distance longitudinal free-energy shift is well described by Δ F z ( R x y ) = A R x y 2 + B . The transverse channels exhibit the same qualitative suppression, while their distance dependence additionally reflects the radial arrangement of the static sources and is compatible with a radial single-source free-energy shift in the bulk region. For the finite-temperature observables studied above T c , the response weakens as the temperature is increased. These results provide lattice evidence for a position- and geometry-dependent response of bare static-source free energies to imaginary rotation in a gluonic medium.Keywords
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Funding Information
- National Natural Science Foundation of China (12325508)
- National Natural Science Foundation of China (12293064)
- National Natural Science Foundation of China (12293060)
- National Key Research and Development Program of China (2022YFA1604900)
- Fundamental Research Funds for the Central Universities
- Central China Normal University (30101250314)
- Central China Normal University (30106250152)
- Deutsche Forschungsgemeinschaft (315477589–TRR 211)
- CRC (CRC-TR 211)
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