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Line of Fixed Points in Gross-Neveu Theories

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arxiv 2207.10115 v2 pith:BFHWNWNM submitted 2022-07-20 hep-th

classification hep-th
keywords theoriesconformaldimensionsfixedgross-neveulinepointssextic
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In the limit of many fermion flavors it is demonstrated that the sextic Gross-Neveu theory in three dimensions displays a line of interacting UV fixed points, characterised by an exactly marginal sextic interaction. We determine the conformal window of UV-complete theories, universal scaling dimensions, and the phase diagram using renormalisation group methods. Massless theories arise naturally, and the generation of mass proceeds without the breaking of a discrete symmetry. Striking similarities with critical scalar theories at large $N$ are highlighted, and implications from the viewpoint of conformal field theory and the AdS/CFT conjecture are indicated.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Fermions and the Renormalisation Group at Large N

    hep-th 2025-02 conditional novelty 7.0 of 10

    At large N, fermionic quantum field theories have exact effective actions depending only on flavour-singlet fermion bilinears, making the local potential approximation exact and yielding new conformal fixed points.

  2. Dilaton Physics from Asymptotic Freedom

    hep-th 2025-01 conditional novelty 6.0 of 10

    In a large-N 3D Gross-Neveu-Yukawa theory, the endpoint of the conformal window spontaneously breaks scale symmetry, producing a massless dilaton whose decay constant and induced mass obey a universal product formula.

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