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Casimir operator dependences of nonperturbative fermionic QCD amplitudes

In eikonal and quenched approximations, it is argued that the strong coupling fermionic QCD Green’s functions and related amplitudes depart from a sole dependence on the SUc(3)SUc(3)<math display="inline" overflow="scroll" altimg="eq-00001.gif"><mi>S</mi&...

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Bibliographic Details
Main Authors: Fried, H. M. (Author) , Grandou, Thierry (Author) , Hofmann, Ralf (Author)
Format: Article (Journal)
Language:English
Published: 27 July 2016
In: International journal of modern physics. A, Particles and fields, gravitation, cosmology
Year: 2016, Volume: 31, Issue: 20/21
ISSN:1793-656X
DOI:10.1142/S0217751X16501207
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1142/S0217751X16501207
Verlag, lizenzpflichtig, Volltext: https://www.worldscientific.com/doi/abs/10.1142/S0217751X16501207
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Author Notes:H.M. Fried, T. Grandou, R. Hofmann

MARC

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520 |a In eikonal and quenched approximations, it is argued that the strong coupling fermionic QCD Green’s functions and related amplitudes depart from a sole dependence on the SUc(3)SUc(3)<math display="inline" overflow="scroll" altimg="eq-00001.gif"><mi>S</mi><msub><mrow><mi>U</mi></mrow><mrow><mi>c</mi></mrow></msub><mo class="MathClass-open" stretchy="false">(</mo><mn>3</mn><mo class="MathClass-close" stretchy="false">)</mo></math> quadratic Casimir operator, C2fC2f<math display="inline" overflow="scroll" altimg="eq-00002.gif"><msub><mrow><mi>C</mi></mrow><mrow><mn>2</mn><mi>f</mi></mrow></msub></math>, evaluated over the fundamental gauge group representation. Noted in nonrelativistic quark models and in a nonperturbative generalization of the Schwinger mechanism, an additional dependence on the cubic Casimir operator shows up, in contradistinction with perturbation theory and other nonperturbative approaches. However, it accounts for the full algebraic content of the rank-2 Lie algebra of SUc(3)SUc(3)<math display="inline" overflow="scroll" altimg="eq-00003.gif"><mi>S</mi><msub><mrow><mi>U</mi></mrow><mrow><mi>c</mi></mrow></msub><mo class="MathClass-open" stretchy="false">(</mo><mn>3</mn><mo class="MathClass-close" stretchy="false">)</mo></math>. Though numerically subleading effects, cubic Casimir dependences, here and elsewhere, appear to be a signature of the nonperturbative fermionic sector of QCD. 
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