https://doi.org/10.1140/epjc/s10052-014-2844-0
Regular Article - Theoretical Physics
Renormalization aspects of 
Super Yang–Mills theory in the Wess–Zumino gauge
1
Departamento de Física Teórica, Instituto de Física, UERJ-Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, Maracanã, Rio de Janeiro, 20550-013, Brazil
2
Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT), 76128 , Karlsruhe, Germany
* e-mail: msguimaraes@uerj.br
Received:
29
January
2014
Accepted:
1
April
2014
Published online:
23
April
2014
The renormalization of Super Yang–Mills theory is analyzed in the Wess–Zumino gauge, employing the Landau condition. An all-orders proof of the renormalizability of the theory is given by means of the Algebraic Renormalization procedure. Only three renormalization constants are needed, which can be identified with the coupling constant, gauge field, and gluino renormalization. The non-renormalization theorem of the gluon–ghost–antighost vertex in the Landau gauge is shown to remain valid in Super Yang–Mills. Moreover, due to the non-linear realization of the supersymmetry in the Wess–Zumino gauge, the renormalization factor of the gauge field turns out to be different from that of the gluino. These features are explicitly checked through a three-loop calculation.
© SIF and Springer-Verlag Berlin Heidelberg, 2014
