On the interface between perturbative and nonperturbative QCD
Abstract
The QCD running coupling αs(Q2) sets the strength of the interactions of quarks and gluons as a function of the momentum transfer Q . The Q2 dependence of the coupling is required to describe hadronic interactions at both large and short distances. In this article we adopt the light-front holographic approach to strongly-coupled QCD, a formalism which incorporates confinement, predicts the spectroscopy of hadrons composed of light quarks, and describes the low- Q2 analytic behavior of the strong coupling αs(Q2) . The high- Q2 dependence of the coupling αs(Q2) is specified by perturbative QCD and its renormalization group equation. The matching of the high and low Q2 regimes of αs(Q2) then determines the scale Q0 which sets the interface between perturbative and nonperturbative hadron dynamics. The value of Q0 can be used to set the factorization scale for DGLAP evolution of hadronic structure functions and the ERBL evolution of distribution amplitudes. We discuss the scheme-dependence of the value of Q0 and the infrared fixed-point of the QCD coupling. Our analysis is carried out for the MS¯, g1, MOM and V renormalization schemes. Our results show that the discrepancies on the value of αs at large distance seen in the literaturemore »
- Authors:
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1245477
- Alternate Identifier(s):
- OSTI ID: 1245546; OSTI ID: 1249326
- Report Number(s):
- JLAB-PHY-16-2198; SLAC-PUB-16449; DOE/OR/23177-3646; arXiv:1601.06568
Journal ID: ISSN 0370-2693; S037026931630048X; PII: S037026931630048X
- Grant/Contract Number:
- AC05-06OR23177; AC02-76SF00515; SLAC-PUB-16449
- Resource Type:
- Published Article
- Journal Name:
- Physics Letters B
- Additional Journal Information:
- Journal Name: Physics Letters B Journal Volume: 757 Journal Issue: C; Journal ID: ISSN 0370-2693
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Deur, Alexandre, Brodsky, Stanley J., and de Téramond, Guy F. On the interface between perturbative and nonperturbative QCD. Netherlands: N. p., 2016.
Web. doi:10.1016/j.physletb.2016.03.077.
Deur, Alexandre, Brodsky, Stanley J., & de Téramond, Guy F. On the interface between perturbative and nonperturbative QCD. Netherlands. https://doi.org/10.1016/j.physletb.2016.03.077
Deur, Alexandre, Brodsky, Stanley J., and de Téramond, Guy F. Wed .
"On the interface between perturbative and nonperturbative QCD". Netherlands. https://doi.org/10.1016/j.physletb.2016.03.077.
@article{osti_1245477,
title = {On the interface between perturbative and nonperturbative QCD},
author = {Deur, Alexandre and Brodsky, Stanley J. and de Téramond, Guy F.},
abstractNote = {The QCD running coupling αs(Q2) sets the strength of the interactions of quarks and gluons as a function of the momentum transfer Q . The Q2 dependence of the coupling is required to describe hadronic interactions at both large and short distances. In this article we adopt the light-front holographic approach to strongly-coupled QCD, a formalism which incorporates confinement, predicts the spectroscopy of hadrons composed of light quarks, and describes the low- Q2 analytic behavior of the strong coupling αs(Q2) . The high- Q2 dependence of the coupling αs(Q2) is specified by perturbative QCD and its renormalization group equation. The matching of the high and low Q2 regimes of αs(Q2) then determines the scale Q0 which sets the interface between perturbative and nonperturbative hadron dynamics. The value of Q0 can be used to set the factorization scale for DGLAP evolution of hadronic structure functions and the ERBL evolution of distribution amplitudes. We discuss the scheme-dependence of the value of Q0 and the infrared fixed-point of the QCD coupling. Our analysis is carried out for the MS¯, g1, MOM and V renormalization schemes. Our results show that the discrepancies on the value of αs at large distance seen in the literature can be explained by different choices of renormalization schemes. Furthermore, we also provide the formulae to compute αs(Q2) over the entire range of space-like momentum transfer for the different renormalization schemes discussed in this article.},
doi = {10.1016/j.physletb.2016.03.077},
journal = {Physics Letters B},
number = C,
volume = 757,
place = {Netherlands},
year = {Wed Jun 01 00:00:00 EDT 2016},
month = {Wed Jun 01 00:00:00 EDT 2016}
}
https://doi.org/10.1016/j.physletb.2016.03.077
Web of Science