Topological mass generation in gapless systems

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2 Citations (Scopus)


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.

Original languageEnglish
Article number025010
JournalPhysical Review D
Issue number2
Publication statusPublished - 2021 Jul 15

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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