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Symmetry breaking and RG flows with higher dimensional operators

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arxiv 1905.05506 v2 pith:O7VQVO5L submitted 2019-05-14 hep-th hep-ph

Symmetry breaking and RG flows with higher dimensional operators

classification hep-th hep-ph
keywords flowsoperatorsbasisbreakingdimensionalfieldghostshigher
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss the role of higher dimensional operators in the spontaneous breaking of internal symmetry and scale invariance, in the context of the Lorentz invariant scalar field theory. Using the $\varepsilon$-expansion we determine phase diagrams and demonstrate that (un)stable RG flows computed with a certain basis of dimension 6 operators in the Lagrangian, map to (un)stable RG flows of another basis related to the first by field redefinitions. Crucial is the presence of reparametrization ghosts if Ostrogradsky ghosts appear.

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Cited by 2 Pith papers

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

  1. UV-complete and stable Quintom Dark Energy models in the light of DESI DR2

    hep-ph 2026-03 unverdicted novelty 6.0

    Quintom dark energy is UV-completed in 5D NPGHU, producing a modified Quintom-B model whose massive gauge ghost fits DESI with negligible fine-tuning and remains stable for Λ ~ O(10)H0.

  2. UV-complete and stable Quintom Dark Energy models in the light of DESI DR2

    hep-ph 2026-03 reject novelty 6.0

    A 5D lattice gauge model is presented as the first UV-completion of Quintom dark energy, claiming DESI-compatible phantom crossing with stability, but the model's field amplitude makes its dark-energy density negligible.