Communication Dans Un Congrès Année : 2024

The Casimir Effect in (3+1)-dimensional lattice Yang-Mills theory at finite temperature: the unexpected universality of quarkiton and glueton boundary states

Résumé

In our earlier work on the Casimir effect in (3+1)-dimensional Yang-Mills theory, we identified two novel nonperturbative states arising in QCD with boundaries: the glueton and the quarkiton. The glueton, or "gluon exciton", is a colorless bound state formed by gluons interacting with their negatively colored images in a chromometallic mirror. The quarkiton, or "quark exciton", is a meson-like state comprising a heavy quark attracted to its image through the mirror. In this study, we extend our analysis to finite temperatures near the deconfinement phase transition (T ≈ 0.78Tc) where we observe a linear potential between a color-neutral chromometallic mirror and a heavy test quark. Our result suggests that the quarkiton state can have a physical relevance since mirrors for photons and, presumably, gluons can be realized in field theories as domain-wall solutions. Furthermore, we find a striking universality: the ratio of the glueton mass to the bulk 0++ glueball mass—defining the bulk mass gap—matches the ratio of the quarkiton string tension to the string tension between quark and anti-quark in the absence of the mirror, with a value $\mathcal {R}$ = 0.294(11).

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hal-05101629 , version 1 (13-06-2025)

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Maxim N. Chernodub, Vladimir A. Goy, Alexander V. Molochkov, Konstantin R. Pak, Alexey S. Tanashkin. The Casimir Effect in (3+1)-dimensional lattice Yang-Mills theory at finite temperature: the unexpected universality of quarkiton and glueton boundary states. XVIth Quark Confinement and the Hadron Spectrum Conference (QCHSC24), Centre for the Subatomic Structure of Matter (CSSM), the University of Adelaide, Aug 2024, Cairns, QLD, Australia. ⟨hal-05101629⟩
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