Four fermion condensates in SU(2) Yang-Mills-Higgs theory on a lattice

Nouman Butt, Simon Catterall

Research output: Contribution to journalConference Articlepeer-review


We study a model of four reduced staggered fields transforming in the bifundamental representation of a SU(2)×SU(2) symmetry group where just one of the SU(2) factors is gauged. This field content and symmetries are similar to a Higgs-Yukawa model that has been studied recently. The key observation in the latter work is that fermions acquire masses at strong coupling via the formation of a symmetric four fermion condensate in contrast to the more usual symmetry breaking bilinear condensate seen in eg. NJL models. The current work attempts to see whether this structure survives when the four fermi interactions are replaced by gauge interactions and to explore the resulting phase diagram.

Original languageEnglish (US)
Article number294
JournalProceedings of Science
StatePublished - 2018
Event36th Annual International Symposium on Lattice Field Theory, LATTICE 2018 - East Lansing, United States
Duration: Jul 22 2018Jul 28 2018

ASJC Scopus subject areas

  • General


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