TY  - CONF
AU  - Aslam, M. Jamil
AU  - Gutiérrez-Guerrero, L. X.
TI  - LKF Transformations in QCD and Quark Propagator
IS  - DESY-PROC-2016-04
CY  - Hamburg
PB  - Verlag Deutsches Elektronen-Synchrotron
M1  - PUBDB-2017-06847
M1  - DESY-PROC-2016-04
SN  - 978-3-945931-07-3
T2  - DESY-PROC
SP  - 371-376
PY  - 2017
AB  - 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 <span style="font-family:helvetica"><i>O</i>(g<sub>s</sub><sup>6</sup>) and, for some terms, till <span style="font-family:helvetica"><i>O</i>(g<sub>s</sub><sup>8</sup>). The corresponding transformation for the abelian case of quantum electrodynamics is trivially recovered by setting the color factors C<sub>F</sub>=1 and C<sub>A</sub>=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.
T2  - Quantum Field Theory at the Limits
CY  - 18 Jul 2016 - 30 Jul 2016, Dubna (Russia)
Y2  - 18 Jul 2016 - 30 Jul 2016
M2  - Dubna, Russia
LB  - PUB:(DE-HGF)29 ; PUB:(DE-HGF)8 ; PUB:(DE-HGF)7
DO  - DOI:10.3204/DESY-PROC-2016-04/Aslam
UR  - https://bib-pubdb1.desy.de/record/330348
ER  -