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PUBDB-2017-06847

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png LKF Transformations in QCD and Quark Propagator

Aslam, M. J. (Corresponding author) ; Gutiérrez-Guerrero, L. X.

2017
Verlag Deutsches Elektronen-Synchrotron Hamburg
ISBN: 978-3-945931-07-3, 978-3-945931-07-3

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Please use a persistent id in citations: doi:10.3204/DESY-PROC-2016-04/Aslam

Report No.: DESY-PROC-2016-04

Abstract: In this article, we present the derivation of Landau-Khalatnikov-Fradkin (LKF) transformation for the quark propagator in an arbitrary $SU(N)$ gauge theory. Working in the system of covariant gauges, we derive transformation law by making perturbative expansions till ${\cal O}(g_s^6)$ and, for some terms, till ${\cal O}(g_s^8)$. The corresponding transformation for the abelian case of quantum electrodynamics is trivially recovered by setting the color factors $C_F=1$ and $C_A=0$. Finally, we study the implications of this QCD transformation for the quark-antiquark condensate, multiplicative renormalizability of mass less quark propagator and its relation with the quark-gluon vertex at one loop order.

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Contributing Institute(s):

1. Bibliothek und Dokumentation (L)

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2017

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Book/Proceedings/Report Ali, A. (Editor)DESY* ; Blaschke, D. (Editor) ; Issadykov, A. (Editor) ; Ivanov, M. (Editor)
Proceedings of the Helmholtz International Summer School 2016 (HQ 2016) : Quantum Field Theory at the Limits : from Strong Fields to Heavy Quarks
2017Helmholtz International Summer School 2016, HQ 2016, DubnaDubna, Russia, 18 Jul 2016 - 30 Jul 20162016-07-182016-07-30 Hamburg : Verlag Deutsches Elektronen-Synchrotron, DESY-PROC (2017) [10.3204/DESY-PROC-2016-04]2017     Files BibTeX | EndNote: XML, Text | RIS

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