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Conformal Phase Diagram of Complete Asymptotically Free Theories

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arxiv 1605.04712 v1 pith:FMFRQROG submitted 2016-05-16 hep-th hep-lathep-ph

Claudio Pica , Thomas A. Ryttov , Francesco Sannino This is my paper · ORCID
classification hep-thhep-lathep-ph
keywords betacouplingfunctionasymptoticallyinfraredloopconformalfixed
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We investigate the ultraviolet and infrared fixed point structure of gauge-Yukawa theories featuring a single gauge coupling, Yukawa coupling and scalar self coupling. Our investigations are performed using the two loop gauge beta function, one loop Yukawa beta function and one loop scalar beta function. We provide the general conditions that the beta function coefficients must abide for the theory to be completely asymptotically free while simultaneously possessing an infrared stable fixed point. We also uncover special trajectories in coupling space along which some couplings are both asymptotically safe and infrared conformal.

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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. Grand-unification Theory Atlas: Standard Model and Beyond

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A degree-of-freedom count applied to a new atlas of grand-unified gauge theories ranks SU(5) Georgi-Glashow first and SO(10) second for three generations.

  2. Comment to "The asymptotically-free gauge theories"

    hep-th 2025-07 accept novelty 2.0 of 10

    A comment showing that the Gripaios-Nguyen classification of asymptotically-free gauge theories misses anomaly cancellation constraints and prior classifications, and overstates its novelty.

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