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Edge modes as reference frames and boundary actions from post-selection
https://oist.repo.nii.ac.jp/records/2597
https://oist.repo.nii.ac.jp/records/2597dcd2544a-201e-473e-970d-dc63dfb516b1
名前 / ファイル | ライセンス | アクション |
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Carrozza-2022-Edge modes as reference frames a (42.5 MB)
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Creative Commons Attribution 4.0 International(https://creativecommons.org/licenses/by/4.0/)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2022-03-22 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Edge modes as reference frames and boundary actions from post-selection | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Gauge Symmetry | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Chern-Simons Theories | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) |
Carrozza, Sylvain
× Carrozza, Sylvain× Höhn, Philipp A. |
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書誌情報 |
en : Journal of High Energy Physics 巻 2022, 号 2, p. 172, 発行日 2022-02-21 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | We introduce a general framework realizing edge modes in (classical) gauge field theory as dynamical reference frames, an often suggested interpretation that we make entirely explicit. We focus on a bounded region M with a co-dimension one time-like boundary Γ, which we embed in a global spacetime. Taking as input a variational principle at the global level, we develop a systematic formalism inducing consistent variational principles (and in particular, boundary actions) for the subregion M. This relies on a post-selection procedure on Γ, which isolates the subsector of the global theory compatible with a general choice of gauge-invariant boundary conditions for the dynamics in M. Crucially, the latter relate the configuration fields on Γ to a dynamical frame field carrying information about the spacetime complement of M; as such, they may be equivalently interpreted as frame-dressed or relational observables. Generically, the external frame field keeps an imprint on the ensuing dynamics for subregion M, where it materializes itself as a local field on the time-like boundary Γ; in other words, an edge mode. We identify boundary symmetries as frame reorientations and show that they divide into three types, depending on the boundary conditions, that affect the physical status of the edge modes. Our construction relies on the covariant phase space formalism, and is in principle applicable to any gauge (field) theory. We illustrate it on three standard examples: Maxwell, Abelian Chern-Simons and non-Abelian Yang-Mills theories. In complement, we also analyze a mechanical toy-model to connect our work with recent efforts on (quantum) reference frames. | |||||
出版者 | ||||||
出版者 | Springer Nature Switzerland AG. | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1029-8479 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1126-6708 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1007/JHEP02(2022)172 | |||||
権利 | ||||||
権利情報 | © 2022 The Author(s). | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://link.springer.com/article/10.1007/JHEP02(2022)172 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |