An exact, finite, gaugeinvariant, nonperturbative approach to QCD renormalization
Abstract
A particular choice of renormalization, within the simplifications provided by the nonperturbative property of Effective Locality, leads to a completely finite, nonperturbative approach to renormalized QCD, in which all correlation functions can, in principle, be defined and calculated. In this Model of renormalization, only the Bundle chainGraphs of the cluster expansion are nonzero. All Bundle graphs connecting to closed quark loops of whatever complexity, and attached to a single quark line, provided no ‘selfenergy’ to that quark line, and hence no effective renormalization. However, the exchange of momentum between one quark line and another, involves only the clusterexpansion’s chain graphs, and yields a set of contributions which can be summed and provide a finite colorcharge renormalization that can be incorporated into all other QCD processes. An application to High Energy elastic pp scattering is now underway.
 Authors:
 Physics Department, Brown University, Providence, RI 02912 (United States)
 Université de Nice SophiaAntipolis, Institut Non Linéaire de Nice, UMR 6618 CNRS, 06560 Valbonne (France)
 (France)
 Publication Date:
 OSTI Identifier:
 22451192
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Annals of Physics; Journal Volume: 359; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHARGE RENORMALIZATION; CLUSTER EXPANSION; CORRELATION FUNCTIONS; GAUGE INVARIANCE; QUANTUM CHROMODYNAMICS; QUARKS; SELFENERGY
Citation Formats
Fried, H.M., Email: fried@het.brown.edu, Tsang, P.H., Email: Peter_Tsang@brown.edu, Gabellini, Y., Email: yves.gabellini@inln.cnrs.fr, Grandou, T., Email: thierry.grandou@inln.cnrs.fr, Sheu, Y.M., Email: ymsheu@alumni.brown.edu, and Université de Nice SophiaAntipolis, Institut Non Linéaire de Nice, UMR 6618 CNRS, 06560 Valbonne. An exact, finite, gaugeinvariant, nonperturbative approach to QCD renormalization. United States: N. p., 2015.
Web. doi:10.1016/J.AOP.2015.03.024.
Fried, H.M., Email: fried@het.brown.edu, Tsang, P.H., Email: Peter_Tsang@brown.edu, Gabellini, Y., Email: yves.gabellini@inln.cnrs.fr, Grandou, T., Email: thierry.grandou@inln.cnrs.fr, Sheu, Y.M., Email: ymsheu@alumni.brown.edu, & Université de Nice SophiaAntipolis, Institut Non Linéaire de Nice, UMR 6618 CNRS, 06560 Valbonne. An exact, finite, gaugeinvariant, nonperturbative approach to QCD renormalization. United States. doi:10.1016/J.AOP.2015.03.024.
Fried, H.M., Email: fried@het.brown.edu, Tsang, P.H., Email: Peter_Tsang@brown.edu, Gabellini, Y., Email: yves.gabellini@inln.cnrs.fr, Grandou, T., Email: thierry.grandou@inln.cnrs.fr, Sheu, Y.M., Email: ymsheu@alumni.brown.edu, and Université de Nice SophiaAntipolis, Institut Non Linéaire de Nice, UMR 6618 CNRS, 06560 Valbonne. Sat .
"An exact, finite, gaugeinvariant, nonperturbative approach to QCD renormalization". United States.
doi:10.1016/J.AOP.2015.03.024.
@article{osti_22451192,
title = {An exact, finite, gaugeinvariant, nonperturbative approach to QCD renormalization},
author = {Fried, H.M., Email: fried@het.brown.edu and Tsang, P.H., Email: Peter_Tsang@brown.edu and Gabellini, Y., Email: yves.gabellini@inln.cnrs.fr and Grandou, T., Email: thierry.grandou@inln.cnrs.fr and Sheu, Y.M., Email: ymsheu@alumni.brown.edu and Université de Nice SophiaAntipolis, Institut Non Linéaire de Nice, UMR 6618 CNRS, 06560 Valbonne},
abstractNote = {A particular choice of renormalization, within the simplifications provided by the nonperturbative property of Effective Locality, leads to a completely finite, nonperturbative approach to renormalized QCD, in which all correlation functions can, in principle, be defined and calculated. In this Model of renormalization, only the Bundle chainGraphs of the cluster expansion are nonzero. All Bundle graphs connecting to closed quark loops of whatever complexity, and attached to a single quark line, provided no ‘selfenergy’ to that quark line, and hence no effective renormalization. However, the exchange of momentum between one quark line and another, involves only the clusterexpansion’s chain graphs, and yields a set of contributions which can be summed and provide a finite colorcharge renormalization that can be incorporated into all other QCD processes. An application to High Energy elastic pp scattering is now underway.},
doi = {10.1016/J.AOP.2015.03.024},
journal = {Annals of Physics},
number = ,
volume = 359,
place = {United States},
year = {Sat Aug 15 00:00:00 EDT 2015},
month = {Sat Aug 15 00:00:00 EDT 2015}
}

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