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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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
27 July 2016
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| In: |
International journal of modern physics. A, Particles and fields, gravitation, cosmology
Year: 2016, Jahrgang: 31, Heft: 20/21 |
| ISSN: | 1793-656X |
| DOI: | 10.1142/S0217751X16501207 |
| Online-Zugang: | 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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| Verfasserangaben: | H.M. Fried, T. Grandou, R. Hofmann |
| Zusammenfassung: | 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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| Beschreibung: | Gesehen am 27.05.2020 |
| Beschreibung: | Online Resource |
| ISSN: | 1793-656X |
| DOI: | 10.1142/S0217751X16501207 |