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020 _ _ |a 978-3-945931-07-3
020 _ _ |a 978-3-945931-07-3
024 7 _ |a 10.3204/DESY-PROC-2016-04/Aslam
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024 7 _ |a 1435-8077
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037 _ _ |a PUBDB-2017-06847
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088 1 _ |a DESY-PROC-2016-04
088 _ _ |a DESY-PROC-2016-04
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100 1 _ |a Aslam, M. Jamil
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111 2 _ |a Quantum Field Theory at the Limits
|c Dubna
|d 2016-07-18 - 2016-07-30
|g HQ 2016
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|w Russia
245 _ _ |a LKF Transformations in QCD and Quark Propagator
260 _ _ |a Hamburg
|c 2017
|b Verlag Deutsches Elektronen-Synchrotron
295 1 0 |a Aslam, M. Jamil, Gutierrez-Guerrero, L. X. "LKF Transformations in QCD and Quark Propagator" in Proceedings of the Helmholtz International Summer School 2016 (HQ 2016) : Quantum Field Theory at the Limits : from Strong Fields to Heavy Quarks / Ali, Ahmed, Blaschke, David, Issadykov, Aidos, Ivanov, Mikhail (eds.), Verlag Deutsches Elektronen-Synchrotron : 2017 ; HQ 2016 : Helmholtz International Summer School 2016, 2016-07-18 - 2016-07-30, Dubna
300 _ _ |a 371-376
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520 _ _ |a 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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700 1 _ |a Gutiérrez-Guerrero, L. X.
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787 0 _ |a Ali, Ahmed et. al.
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|t Proceedings of the Helmholtz International Summer School 2016 (HQ 2016) : Quantum Field Theory at the Limits : from Strong Fields to Heavy Quarks
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