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Boundary states and Non-Abelian Casimir effect in lattice Yang-Mills theory

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arxiv 2302.00376 v1 pith:AGHPT56F submitted 2023-02-01 hep-lat cond-mat.otherhep-th

Maxim N. Chernodub , Vladimir A. Goy , Alexander V. Molochkov , Alexey S. Tanashkin This is my paper · ORCID
classification hep-latcond-mat.otherhep-th
keywords chromometalliccasimirmirrorquarkstateboundarycolorlesseffect
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abstract

Using first-principle numerical simulations, we investigate the Casimir effect in zero-temperature SU(3) lattice gauge theory in 3+1 spacetime dimensions. The Casimir interaction between perfect chromometallic mirrors reveals the presence of a new gluonic state with the mass $m_{\mathrm{gt}} = 1.0(1)\sqrt{\sigma} = 0.49(5)\,\mathrm{GeV} = 0.29(3) M_{0^{++}}$ which is substantially lighter than the $0^{++}$ groundstate glueball. We call this excitation ``glueton'' interpreting it as a non-perturbative colorless state of gluons bound to their negatively colored images in the chromometallic mirror. The glueton is a gluonic counterpart of a surface electron-hole exciton in semiconductors. We also show that a heavy quark is attracted to the neutral chromometallic mirror, thus supporting the existence of a ``quarkiton'' (a ``quark exciton'') colorless state in QCD, which is formed by a single quark with its anti-quark image in the chromometallic mirror. Analogies with edge modes in topological insulators and boundary states of fractional vortices in multi-component condensates are highlighted.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-Abelian Casimir energy in the Curci-Ferrari model through a functional approach

    hep-th 2025-09 conditional novelty 6.0 of 10

    In the Curci-Ferrari model, the non-Abelian Casimir energy between magnetic-conductor plates is 3/2 times that for electric-conductor plates, and the massless limit is discontinuous (vDVZ-like), with the same pattern ...

  2. Dynamical edge modes in Maxwell theory from a BRST perspective, with an application to the Casimir energy

    hep-th 2024-12 conditional novelty 6.0 of 10

    DEM boundary conditions on two parallel plates yield the same Casimir energy as perfectly conducting plates, after restoring BRST invariance with boundary ghost fields.

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