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

Abstract

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

Authors:
 [1];  [2];  [3]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. Univ. of Costa Rica, San Jose (Costa Rica)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
979912
Report Number(s):
JLAB-PHY-10-1128; DOE/OR/23177-1142
Journal ID: ISSN 1550-7998; PRVDAQ; TRN: US1003405
Grant/Contract Number:  
AC05-06OR23177
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 81; Journal Issue: 9; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CONFINEMENT; DUALITY; EFFECTIVE CHARGE; HADRONS; HOLOGRAPHY; PHYSICS; QUANTUM CHROMODYNAMICS; SUM RULES

Citation Formats

Brodskey, Stanley J., de Teramond, Guy, and Deur, Alexandre P. Nonperturbative QCD Coupling and its $\beta$-function from Light-Front Holography. United States: N. p., 2010. Web. doi:10.1103/PhysRevD.81.096010.
Brodskey, Stanley J., de Teramond, Guy, & Deur, Alexandre P. Nonperturbative QCD Coupling and its $\beta$-function from Light-Front Holography. United States. doi:10.1103/PhysRevD.81.096010.
Brodskey, Stanley J., de Teramond, Guy, and Deur, Alexandre P. Fri . "Nonperturbative QCD Coupling and its $\beta$-function from Light-Front Holography". United States. doi:10.1103/PhysRevD.81.096010. https://www.osti.gov/servlets/purl/979912.
@article{osti_979912,
title = {Nonperturbative QCD Coupling and its $\beta$-function from Light-Front Holography},
author = {Brodskey, Stanley J. and de Teramond, Guy and Deur, Alexandre P.},
abstractNote = {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 $\alpha_s^{AdS}(Q^2)$.},
doi = {10.1103/PhysRevD.81.096010},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 9,
volume = 81,
place = {United States},
year = {2010},
month = {5}
}

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