Topological mass generation in gapless systems

Naoki Yamamoto, Ryo Yokokura

研究成果: Article査読


Mass generation of gauge fields can be universally described by topological couplings in gapped systems, such as the Abelian Higgs model in (3+1) dimensions and the Maxwell-Chern-Simons theory in (2+1) dimensions. These systems also exhibit the spontaneous breaking of higher-form Zk symmetries and topological orders for level k≥2. In this paper, we consider topological mass generation in gapless systems. As a paradigmatic example, we study the axion electrodynamics with level k in (3+1) dimensions in background fields that hosts both gapped and gapless modes. We argue that the gapped mode is related to those in fully gapped systems in lower dimensions via dimensional reduction. We show that this system exhibits the spontaneous breaking of a higher-form Zk symmetry despite the absence of the conventional topological order. In the case of the background magnetic field, we also derive the low-energy effective theory of the gapless mode with the quadratic dispersion relation and show that it satisfies the chiral anomaly matching.

ジャーナルPhysical Review D
出版ステータスPublished - 2021 7月 15

ASJC Scopus subject areas

  • 物理学および天文学(その他)


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