Nonperturbative QCD coupling and its β function from light-front holography

By S. Brodsky, Guy F. de Téramond, A. Deur. 2010

181 citations recorded by the source corpus.

The light-front holographic mapping of classical gravity in AdS space, modified by a positive-sign dilaton background, leads to a non-perturbative effective coupling $$\alpha_s^{AdS}(Q^2)$$. It agrees with hadron physics data extracted from different observables, such as the effective charge defined by the Bjorken sum rule, as well as with the predictions of models with built-in confinement and lattice simulations. It also displays a transition from perturbative to nonperturbative conformal regimes at a momentum scale $$ \sim 1$$ GeV. The resulting $$\beta$$-function appears to capture the essential characteristics of the full $$\beta$$-function of QCD, thus giving further support to the application of the gauge/gravity duality to the confining dynamics of strongly coupled QCD. Commensurate scale relations relate observables to each other without scheme or scale ambiguity. In this paper we extrapolate these relations to the nonperturbative domain, thus extending the range of predictions based on $$\alpha_s^{AdS}(Q^2)$$.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/35021e57aa673fad1ed266e5d12e100b2fb260e8

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In Astronomy and Astrophysics

  1. Guy F. de Téramond
  2. S. Brodsky
  3. J. Erlich
  4. Hans Günter Dosch

In Nuclear and High Energy Physics

  1. Guy F. de Téramond
  2. S. Brodsky
  3. Hans Günter Dosch
  4. J. Erlich
  5. A. Deur

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