Fermion masses through four-fermion condensates

Published

Journal Article

© 2016, The Author(s). Fermion masses can be generated through four-fermion condensates when symmetries prevent fermion bilinear condensates from forming. This less explored mechanism of fermion mass generation is responsible for making four reduced staggered lattice fermions massive at strong couplings in a lattice model with a local four-fermion coupling. The model has a massless fermion phase at weak couplings and a massive fermion phase at strong couplings. In particular there is no spontaneous symmetry breaking of any lattice symmetries in both these phases. Recently it was discovered that in three space-time dimensions there is a direct second order phase transition between the two phases. Here we study the same model in four space-time dimensions and find results consistent with the existence of a narrow intermediate phase with fermion bilinear condensates, that separates the two asymptotic phases by continuous phase transitions.

Full Text

Duke Authors

Cited Authors

  • Ayyar, V; Chandrasekharan, S

Published Date

  • October 1, 2016

Published In

Volume / Issue

  • 2016 / 10

Electronic International Standard Serial Number (EISSN)

  • 1029-8479

International Standard Serial Number (ISSN)

  • 1126-6708

Digital Object Identifier (DOI)

  • 10.1007/JHEP10(2016)058

Citation Source

  • Scopus