The Uses of conformal symmetry in QCD

By V. Braun, G. Korchemsky, D. Müller. 2003

314 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/21d50b232c69309f0e2985264f807b5a69488e06

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Citations in the corpus

An operator product expansion for polygonal null Wilson loops (2010, background): “Similar operators arise also in the study of high energy processes in QCD, for a review see [17].”
From correlation functions to Wilson loops (2010, unknown): “the review [30].”
Convexity and liberation at large spin (2012, background): “The functions F are determined from representation theory, see [18] for a review.”
SPINNING STRINGS AND AdS/CFT DUALITY (2003, background): “The role of conformal symmetry in QCD and these integrability relations were reviewed in [ 29 ].”
Light-front holographic QCD and emerging confinement (2014, background): “The classical Lagrangian is, in the limit of massless quarks, invariant under conformal transformations [5, 6].”
Light-ray operators in conformal field theory (2018, background): “[35–40]), and it would be interesting to study other perturbative examples.”
On integrability of classical superstrings in AdS5 × S5 (2005, background): “Integrability on perturbative gauge theory side (observed already in a particular sector of QCD at one loop [ 11 ]) in the N = 4 SYM theory becomes a feature of the full dilatation operator [12] and should be present to all loop orders [13] (see [14] for a review).”
Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes (2007, unknown): “1 Anomalous conformal Ward identities The conformal Ward identities for the light-like Wilson loop W (Cn) can be derived following the standard method [17, 18, 29, 28].”
Conformal invariance in the long-range Ising model (2015, background): “The idea of the proof [38,39,30,40] is to construct the Ward identities for scale and conformal invariance broken by the effects of the running coupling, and to show that the breaking effects disappear at the fixed point.”
Higher-twist distribution amplitudes of the K meson in QCD (2006, methodology): “[19] for a review and further references.”