Massive fermions without fermion bilinear condensates

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Abstract
We study a lattice field theory model containing two flavors of massless staggered fermions with an onsite four-fermion interaction. The model contains an SU(4) symmetry which forbids nonzero fermion bilinear mass terms, due to which there is a massless fermion phase at weak couplings. However, even at strong couplings fermion bilinear condensates do not appear in our model, although fermions do become massive. While the existence of this exotic strongly coupled massive fermion phase was established long ago, the nature of the transition between the massless and the massive phase has remained unclear. Using Monte Carlo calculations in three space-time dimensions, we find evidence for a direct second-order transition between the two phases suggesting that the exotic lattice phase may have a continuum limit at least in three dimensions. A similar exotic second-order critical point was found recently in a bilayer system on a honeycomb lattice.
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Funding Information
  • U.S. Department of Energy
  • Office of Science
  • Nuclear Physics
  • National Science Foundation
  • Nuclear Physics program (DE-FG02-05ER41368)

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