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The Uses of Conformal Symmetry in QCD

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arxiv hep-ph/0306057 v1 pith:BESZQLCU submitted 2003-06-06 hep-ph hep-th

The Uses of Conformal Symmetry in QCD

classification hep-ph hep-th
keywords conformalsymmetryquantumshortalthoughapplicationsbrokencalculations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Lagrangian of Quantum Chromodynamics is invariant under conformal transformations. Although this symmetry is broken by quantum corrections, it has important consequences for strong interactions at short distances and provides one with powerful tools in practical calculations. In this review we give a short exposition of the relevant ideas, techniques and applications of conformal symmetry to various problems of interest.

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Cited by 4 Pith papers

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

  1. Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories

    hep-th 2026-07 conditional novelty 7.0

    Universal light-ray operators from the stress tensor generate the wedge subalgebra of w_{1+∞} in generic interacting 4D CFTs, with finite one-point functions matching the full tower of soft graviton and gluon factors.

  2. Bootstrapping Pion Form Factors at Large $N$

    hep-th 2026-06 unverdicted novelty 7.0

    Bootstrap analysis of meromorphic observables in large-N QCD yields universal and SVZ-type bounds that constrain chiral Lagrangian parameters and link hadronic data to asymptotic freedom.

  3. The OPE Approach to Renormalization: Operator Mixing

    hep-th 2026-04 unverdicted novelty 7.0

    OPE-based recursive renormalization for mixed composite operators gives five-loop anomalous dimensions in phi^4 and two-loop in phi^3 models.

  4. Improved Standard-Model predictions for $\eta^{(\prime)}\to \ell^+ \ell^-$

    hep-ph 2025-12 accept novelty 5.0

    Updated SM predictions yield Br(η→e⁺e⁻)=5.37(4)(2)[4]×10⁻⁹, Br(η→μ⁺μ⁻)=4.54(4)(2)[4]×10⁻⁶, Br(η'→e⁺e⁻)=1.80(2)(3)[3]×10⁻¹⁰, and Br(η'→μ⁺μ⁻)=1.22(2)(2)[3]×10⁻⁷, with a mild 1.6σ tension in the η→μ⁺μ⁻ channel.