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

Dario Benedetti; Nicolas Delporte

doi:10.1007/JHEP01(2019)218

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

Dario Benedetti
, Nicolas Delporte

Université Paris-Sud

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	218
Journal	Journal of High Energy Physics
Volume	2019
Issue number	1
DOIs	https://doi.org/10.1007/JHEP01(2019)218
Publication status	Published - 1 Jan 2019
Externally published	Yes

Keywords

Effective Field Theories
Global Symmetries

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10.1007/JHEP01(2019)218

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abstract = "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.",

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AU - Delporte, Nicolas

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N2 - 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.

AB - 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.

KW - Effective Field Theories

KW - Global Symmetries

U2 - 10.1007/JHEP01(2019)218

DO - 10.1007/JHEP01(2019)218

M3 - Article

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 1

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

Abstract

Keywords

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