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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Numéro d'article	218
journal	Journal of High Energy Physics
Volume	2019
Numéro de publication	1
Les DOIs	https://doi.org/10.1007/JHEP01(2019)218
état	Publié - 1 janv. 2019
Modification externe	Oui

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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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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.

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KW - Global Symmetries

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DO - 10.1007/JHEP01(2019)218

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JO - Journal of High Energy Physics

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

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