Journal of High Energy Physics

, 2019:218 | Cite as

Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions

  • Dario Benedetti
  • Nicolas DelporteEmail author
Open Access
Regular Article - Theoretical Physics


Perturbing the standard Gross-Neveu model for N3 fermions by quartic interactions with the appropriate tensorial contraction patterns, we reduce the original U(N3) symmetry to either U(N) × U(N2) or U(N) × U(N) × U(N). In the large-N limit, we show that in three dimensions such models admit new ultraviolet fixed points with reduced symmetry, besides the well-known one with maximal symmetry. The phase diagram notably presents a new phase with spontaneous symmetry breaking of one U(N) component of the symmetry group.


Effective Field Theories Global Symmetries 


Open Access

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Laboratoire de Physique Théorique (UMR8627), CNRSUniv. Paris-Sud, Université Paris-SaclayOrsayFrance

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