Fermion masses through four-fermion condensates

  • Venkitesh AyyarEmail author
  • Shailesh Chandrasekharan
Open Access
Regular Article - Theoretical Physics


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.


Lattice Quantum Field Theory Spontaneous Symmetry Breaking Nonperturbative Effects 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2016

Authors and Affiliations

  1. 1.Department of PhysicsDuke UniversityDurhamU.S.A.
  2. 2.Center for High Energy Physics, Indian Institute of ScienceBangaloreIndia

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