On the interface between perturbative and nonperturbative QCD

Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F.

doi:10.1016/j.physletb.2016.03.077

Title: On the interface between perturbative and nonperturbative QCD

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Abstract

The QCD running coupling α_s(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 α_s(Q²) . The high- Q² dependence of the coupling α_s(Q²) is specified by perturbative QCD and its renormalization group equation. The matching of the high and low Q² regimes of α_s(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 α_s at large distance seen in the literaturemore »« less

Authors:

; Brodsky, Stanley J.; de Téramond, Guy F.

Publication Date:: Wed Jun 01 00:00:00 EDT 2016

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.

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                    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

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                    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.

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@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}

}

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