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Process-Independent Effective Coupling: From QCD Green’s Functions to Phenomenology

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Abstract

This article reports on a very recent proposal for a new type of process-independent QCD effective charge (Binosi et al. in Phys Rev D 96(5):054026, 2017. https://doi.org/10.1103/PhysRevD.96.054026) defined, as an anologue of the Gell-Mann-Low effective charge in QCD, on the ground of nothing but the knowledge of the gauge-field two-point Green’s function, albeit modified within a particular computational framework; namely, the combination of pinch technique and background field method which makes possible a systematic rearranging of classes of diagrams in order to redefine the Green’s function and have them obey linear QED-like Slavnov–Taylor identities. We have here calculated that effective charge, shown how strikingly well it compares to a process-dependent effective charge based on the Bjorken sum rule; and, finally, employed it in an exploratory calculation of the proton electromagnetic form factor in the hard scattering regime.

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Acknowledgements

We are grateful for comments from S. J. Brodsky, L. Chang, A. Deur and S.-X. Qin. This study was conceived and initiated during the 3rd Workshop on Non-perturbative QCD, University of Seville, Spain, 17–21 October 2016. This research was supported by: Spanish MINECO, under grants FPA2014-53631-C-1-P, FPA2014-53631-C-2-P, FPA2017-86380-P and SEV-2014-0398; Generalitat Valenciana under grant Prometeo II/2014/066; and U.S. Department of Energy, Office of Science, Office of Nuclear Physics, contract no. DE-AC02-06CH11357.

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Authors and Affiliations

  1. Department of Integrated Sciences, University of Huelva, 21071, Huelva, Spain

    Jose Rodríguez-Quintero

  2. European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*) and Fondazione Bruno Kessler, Villa Tambosi, Strada delle Tabarelle 286, 38123, Villazzano, TN, Italy

    Daniele Binosi

  3. Istituto Nazionale di Fisica Nucleare, Sezione di Roma, P. le A. Moro 2, 00185, Rome, Italy

    Cédric Mezrag

  4. Department of Theoretical Physics and IFIC, University of Valencia and CSIC, 46100, Valencia, Spain

    Joannis Papavassiliou

  5. Physics Division, Argonne National Laboratory, Argonne, IL, 60439, USA

    Craig D. Roberts

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  1. Jose Rodríguez-Quintero
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  2. Daniele Binosi
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Correspondence to Jose Rodríguez-Quintero.

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This article belongs to the Topical Collection “NSTAR 2017 - The International Workshop on the Physics of Excited Nucleons”.

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Rodríguez-Quintero, J., Binosi, D., Mezrag, C. et al. Process-Independent Effective Coupling: From QCD Green’s Functions to Phenomenology. Few-Body Syst 59, 121 (2018). https://doi.org/10.1007/s00601-018-1437-0

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