Nonperturbative QCD Coupling and its $\beta$-function from Light-Front Holography

Brodskey, Stanley J.; de Teramond, Guy; Deur, Alexandre P.

doi:10.1103/PhysRevD.81.096010

Title: Nonperturbative QCD Coupling and its $$\beta$$-function from Light-Front Holography

Journal Article · Fri May 28 00:00:00 EDT 2010 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.81.096010· OSTI ID:979912

Brodskey, Stanley J. ^[1]; de Teramond, Guy ^[2]; Deur, Alexandre P. ^[3]

SLAC National Accelerator Lab., Menlo Park, CA (United States)
Univ. of Costa Rica, San Jose (Costa Rica)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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 $$\alpha_s^{AdS}(Q^2)$$.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 979912

Report Number(s):: JLAB-PHY-10-1128; DOE/OR/23177-1142; PRVDAQ; TRN: US1003405

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 81, Issue 9; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 157 works

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Color Confinement, Hadron Dynamics, and Hadron Spectroscopy from Light-Front Holography and Superconformal Algebra Brodsky, Stanley J. arXiv https://doi.org/10.48550/arxiv.1709.01191	preprint	January 2017
An explanation for dark matter and dark energy consistent with the Standard Model of particle physics and General Relativity Deur, A. arXiv https://doi.org/10.48550/arxiv.1709.02481	text	January 2017
Bjorken polarized sum rule and infrared-safe QCD couplings Ayala, Cesar; Cvetic, Gorazd; Kotikov, Anatoly V. arXiv https://doi.org/10.48550/arxiv.1812.01030	text	January 2018
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Title: Nonperturbative QCD Coupling and its $$\beta$$-function from Light-Front Holography

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