論文

2023年6月8日

Higher-group structure in lattice Abelian gauge theory under instanton-sum modification

The European Physical Journal C
  • Naoto Kan
  • ,
  • Okuto Morikawa
  • ,
  • Yuta Nagoya
  • ,
  • Hiroki Wada

83
6
記述言語
掲載種別
研究論文(学術雑誌)
DOI
10.1140/epjc/s10052-023-11616-6
出版者・発行元
Springer Science and Business Media LLC

Abstract

We consider the U(1) gauge theory on a four-dimensional torus, where the instanton number is restricted to an integral multiple of p. This theory possesses the nontrivial higher-group structure, which can be regarded as a generalization of the Green–Schwarz mechanism, between $$\mathbb {Z}_q$$ 1-form and $$\mathbb {Z}_p$$ 3-form symmetries. Here, $$\mathbb {Z}_q$$ is a subgroup of the center of U(1). Following the recent study of the lattice construction of the $$U(1)/\mathbb {Z}_q$$ principal bundle, we examine how such a structure is realized on the basis of lattice regularization.

リンク情報
DOI
https://doi.org/10.1140/epjc/s10052-023-11616-6
arXiv
http://arxiv.org/abs/arXiv:2302.13466
URL
https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11616-6.pdf
URL
https://link.springer.com/article/10.1140/epjc/s10052-023-11616-6/fulltext.html
ID情報
  • DOI : 10.1140/epjc/s10052-023-11616-6
  • eISSN : 1434-6052
  • arXiv ID : arXiv:2302.13466

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