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

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A bstractPerturbing 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… Click to show full abstract

A bstractPerturbing 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.

Keywords: fixed points; phase diagram; gross neveu; symmetry; three dimensions

Journal Title: Journal of High Energy Physics
Year Published: 2019

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