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In this chapter, we collect miscellaneous appences. Section 6.1 is devoted to the proof the ETH-violation caused by higher-form symmetry. In Sect. 6.2, we describe the details for the numerical calculation for the \(\mathbb {Z}_2\) gauge theory. In Sect. 6.3, we explain how the generalized Gibbs ensemble incorporating discrete higher-form symmetry can be justified. We also elaborate on the relation between the path-integral formulation and the Hamiltonian formulation for the \(\mathbb {Z}_2\) gauge theory in Sect. 6.4.

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Appendices

  • 章节

  • 发表日期：

    2025年

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  • Osamu Fukushima

摘要

In this chapter, we collect miscellaneous appences. Section 6.1 is devoted to the proof the ETH-violation caused by higher-form symmetry. In Sect. 6.2, we describe the details for the numerical calculation for the \(\mathbb {Z}_2\) gauge theory. In Sect. 6.3, we explain how the generalized Gibbs ensemble incorporating discrete higher-form symmetry can be justified. We also elaborate on the relation between the path-integral formulation and the Hamiltonian formulation for the \(\mathbb {Z}_2\) gauge theory in Sect. 6.4.