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    Residual gauge theory for quanta of surface plasmons

    Ken-ichi Sasaki*

    • NTT Basic Research Laboratories and NTT Research Center for Theoretical Quantum Information, NTT Corporation, 3-1 Morinosato Wakamiya, Atsugi, Kanagawa 243-0198, Japan

    • *Contact author: ke.sasaki@ntt.com

    Phys. Rev. B 112, 245428 – Published 24 December, 2025

    DOI: https://doi.org/10.1103/xdvx-bqsl

    Abstract

    We develop a gauge-theoretical framework to investigate the quanta of surface plasmons. Our formulation, based on quantum electrodynamics, highlights the importance of residual gauge symmetry. We emphasize that residual gauge symmetry, which imposes constraint equations on physical states, is fundamentally linked to Joule heating. This framework is applied to metals, semiconductors, and quantum Hall states, suggesting the presence of a latent transverse electric mode and that the quanta have the ability to maintain light-matter entanglement.

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