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QCD running couplings and effective charges
Abstract
Here we discuss our present knowledge of $$\alpha_s$$, the fundamental running coupling or effective charge of Quantum Chromodynamics (QCD). A precise understanding of the running of $$\alpha_s(Q^2) $$ at high momentum transfer, $$Q$$, is necessary for any perturbative QCD calculation. Equally important, the behavior of $$\alpha_s$$} at low $Q^2$ in the nonperturbative QCD domain is critical for understanding strong interaction phenomena, including the emergence of mass and quark confinement. The behavior of $$\alpha_s(Q^2)$$ at all momentum transfers also provides a connection between perturbative and nonperturbative QCD phenomena, such as hadron spectroscopy and dynamics. We first sketch the origin of the QCD coupling, the reason why its magnitude depends on the scale at which hadronic phenomena are probed, and the resulting consequences for QCD phenomenology. We then summarize latest measurements in both the perturbative and nonperturbative domains. New theory developments include the derivation of the universal nonperturbative behavior of $$\alpha_s(Q^2)$$ from both the Dyson-Schwinger equations and light-front holography. We also describe theory advances for the calculation of gluon and quark Schwinger functions in the nonperturbative domain and the relation of these quantities to $$\alpha_s$$. We conclude by highlighting how the nonperturbative knowledge of $$\alpha_s$$ is now providing a parameter-free determination of hadron spectroscopy and structure, a central and long-sought goal of QCD studies.
- Authors:
-
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Nanjing Univ. (China)
- 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); National Natural Science Foundation of China (NSFC); USDOE Office of Nuclear Energy (NE)
- OSTI Identifier:
- 2281722
- Alternate Identifier(s):
- OSTI ID: 2224135
- Report Number(s):
- JLAB-PHY-23-3791; DOE/OR/23177-6092
Journal ID: ISSN 0146-6410; 12135007
- Grant/Contract Number:
- AC05-06OR23177; AC02-76SF00515; 12135007
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Progress in Particle and Nuclear Physics
- Additional Journal Information:
- Journal Volume: 134; Journal ID: ISSN 0146-6410
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; QCD; perturbative QCD; coupling constant; renormalization group; nonperturbative QCD; effective changes
Citation Formats
Deur, Alexandre, Brodsky, Stanley J., and Roberts, Craig D. QCD running couplings and effective charges. United States: N. p., 2023.
Web. doi:10.1016/j.ppnp.2023.104081.
Deur, Alexandre, Brodsky, Stanley J., & Roberts, Craig D. QCD running couplings and effective charges. United States. https://doi.org/10.1016/j.ppnp.2023.104081
Deur, Alexandre, Brodsky, Stanley J., and Roberts, Craig D. Tue .
"QCD running couplings and effective charges". United States. https://doi.org/10.1016/j.ppnp.2023.104081.
@article{osti_2281722,
title = {QCD running couplings and effective charges},
author = {Deur, Alexandre and Brodsky, Stanley J. and Roberts, Craig D.},
abstractNote = {Here we discuss our present knowledge of $\alpha_s$, the fundamental running coupling or effective charge of Quantum Chromodynamics (QCD). A precise understanding of the running of $\alpha_s(Q^2) $ at high momentum transfer, $Q$, is necessary for any perturbative QCD calculation. Equally important, the behavior of $\alpha_s$} at low $Q^2$ in the nonperturbative QCD domain is critical for understanding strong interaction phenomena, including the emergence of mass and quark confinement. The behavior of $\alpha_s(Q^2)$ at all momentum transfers also provides a connection between perturbative and nonperturbative QCD phenomena, such as hadron spectroscopy and dynamics. We first sketch the origin of the QCD coupling, the reason why its magnitude depends on the scale at which hadronic phenomena are probed, and the resulting consequences for QCD phenomenology. We then summarize latest measurements in both the perturbative and nonperturbative domains. New theory developments include the derivation of the universal nonperturbative behavior of $\alpha_s(Q^2)$ from both the Dyson-Schwinger equations and light-front holography. We also describe theory advances for the calculation of gluon and quark Schwinger functions in the nonperturbative domain and the relation of these quantities to $\alpha_s$. We conclude by highlighting how the nonperturbative knowledge of $\alpha_s$ is now providing a parameter-free determination of hadron spectroscopy and structure, a central and long-sought goal of QCD studies.},
doi = {10.1016/j.ppnp.2023.104081},
journal = {Progress in Particle and Nuclear Physics},
number = ,
volume = 134,
place = {United States},
year = {Tue Oct 10 00:00:00 EDT 2023},
month = {Tue Oct 10 00:00:00 EDT 2023}
}
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