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PreprintCC BY 4.0arXiv

Non-perturbative news from the conformal window

  • Álvaro Pastor-Gutiérrez
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Abstract

Dynamical symmetry breaking plays a crucial role in mass and scale generation. In QCD-like theories, its dependence on the number of fermion flavours determines the phase structure and the transition to the conformal regime. In this work, we compute non-perturbative corrections relevant to this phenomenom, including momentum dependencies and field invariants essential for an adequate realisation of the global symmetries, by means of the functional renormalisation group and the generalised flow equation. We find that the critical gauge coupling required for dynamical chiral symmetry breaking acquires a strong dependence on the number of flavours and increases sharply at Nfcrit≃ 7.30 for Nc=3. This establishes a new picture of the phase transition to the conformal window that disfavours Miransky/BKT scaling and walking regimes but supports a first-order quantum phase transition and a critical region with exotic dynamics and symmetric fermion mass gaps.

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Cite

BibTeXRIS
BibTeX
@misc{pastorgutierrez2026nonperturbative,
  title = {{Non-perturbative news from the conformal window}},
  author = {Álvaro Pastor-Gutiérrez},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.23674},
  eprint = {2608.23674},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.23674},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Non-perturbative news from the conformal window
AU  - Álvaro Pastor-Gutiérrez
PY  - 2026
DA  - 2026/10/12
PB  - arXiv
DO  - 10.48550/arxiv.2608.23674
UR  - https://arxiv.org/abs/2608.23674
AB  - Dynamical symmetry breaking plays a crucial role in mass and scale generation. In QCD-like theories, its dependence on the number of fermion flavours determines the phase structure and the transition to the conformal regime. In this work, we compute non-perturbative corrections relevant to this phenomenom, including momentum dependencies and field invariants essential for an adequate realisation of the global symmetries, by means of the functional renormalisation group and the generalised flow equation. We find that the critical gauge coupling required for dynamical chiral symmetry breaking acquires a strong dependence on the number of flavours and increases sharply at N_f^crit≃ 7.30 for N_c=3. This establishes a new picture of the phase transition to the conformal window that disfavours Miransky/BKT scaling and walking regimes but supports a first-order quantum phase transition and a critical region with exotic dynamics and symmetric fermion mass gaps.
ER  -