Gauge-fermion cartography: from confinement and chiral symmetry breaking to conformality
We study, for the first time, the interplay between color-confining and chiral symmetry-breaking dynamics in gauge-fermion systems with a general number of flavors and colors. Specifically, we work out the flavor dependence of the confinement and chiral symmetry breaking scales. We connect the QCD-l...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
26 August, 2025
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| In: |
Physical review
Year: 2025, Volume: 112, Issue: 3, Pages: 1-48 |
| ISSN: | 2470-0029 |
| DOI: | 10.1103/7dzj-k6k8 |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.1103/7dzj-k6k8 Verlag, kostenfrei, Volltext: https://link.aps.org/doi/10.1103/7dzj-k6k8 
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| Author Notes: | Florian Goertz, Álvaro Pastor-Gutiérrez, and Jan M. Pawlowski |
MARC
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| 520 | |a We study, for the first time, the interplay between color-confining and chiral symmetry-breaking dynamics in gauge-fermion systems with a general number of flavors and colors. Specifically, we work out the flavor dependence of the confinement and chiral symmetry breaking scales. We connect the QCD-like regime, in quantitative agreement with lattice data, with the perturbative conformal limit, thereby exploring uncharted region of theory space. This analysis is done within the first-principles functional renormalization group approach to gauge-fermion systems and is facilitated by a novel approximation scheme introduced here. This novel scheme enables a relatively simple access to the confining dynamics. This allows us to investigate the whole landscape of many-flavor theories and to provide a cartography of their phase structure. In particular, we uncover a novel phase with the locking of confining and chiral dynamics at intermediate flavor numbers. We also explore the close-conformal region that displays a walking behavior. Finally, we provide a quantitative estimate for the lower boundary of the conformal Caswell-Banks-Zaks window, with a crit( =3) =9.60+0.55−0.53. This work offers a self-consistent framework for charting the landscape of strongly interacting gauge-fermion theories necessary to reliably study strongly coupled extensions of the Standard Model of particle physics. | ||
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