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Excitations of Ising Strings on a Lattice

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arxiv 2301.00034 v2 pith:6Y4WL4H5 submitted 2022-12-30 hep-lat cond-mat.stat-mechhep-th

Andreas Athenodorou , Sergei Dubovsky , Conghuan Luo , Michael Teper This is my paper · ORCID
classification hep-latcond-mat.stat-mechhep-th
keywords isingstringsexcitationsgaugelatticemathbbstringsurfaces
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abstract

The 3d Ising model in the low temperature (ferromagnetic) phase describes dynamics of two-dimensional surfaces -- domain walls between clusters of parallel spins. The Kramers--Wannier duality maps these surfaces into worldsheets of confining strings in the Wegner's ${\mathbb Z}_2$ gauge theory. We study the excitation spectrum of long Ising strings by simulating the ${\mathbb Z}_2$ gauge theory on a lattice. We observe a strong mixing between string excitations and the lightest glueball state and do not find indications for light massive resonances on the string worldsheet.

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  1. The spectrum of open confining strings in the large-Nc limit

    hep-lat 2025-06 conditional novelty 6.0 of 10

    The open flux-tube spectrum in SU(Nc) for Nc=3 to 6 shows massive axion-like states whose lightest mass, extrapolated to large Nc, is consistent with the worldsheet axion mass of the closed flux tube.

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