Symmetric mass generation in lattice gauge theory

Nouman Butt, Simon Catterall, Goksu Can Toga

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We construct a four-dimensional lattice gauge theory in which fermions acquire mass without breaking symmetries as a result of gauge interactions. Our model consists of reduced staggered fermions transforming in the bifundamental representation of an SU(2) × SU(2) gauge symmetry. This fermion representation ensures that single-site bilinear mass terms vanish identically. A symmetric four-fermion operator is however allowed, and we give numerical results that show that a condensate of this operator develops in the vacuum.

Original languageEnglish (US)
Article number2276
Issue number12
StatePublished - Dec 2021


  • Four-fermion condensate
  • Lattice gauge theory
  • Symmetric mass generation

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • General Mathematics
  • Physics and Astronomy (miscellaneous)


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