Renormalization of the second-order QCD with arbitrary chromomagnetic factor and quark self-interactions

Abstract

In this work, the renormalization of the second-order QCD is analyzed at one-loop level, including an arbitrary chromomagnetic factor and quark self-interactions, which are mass dimension four operators in this framework. The model is shown to be renormalizable for any value of the chromomagnetic factor $\kappa$ in the validity region of the perturbative expansion, and Dirac QCD is recovered in the $\kappa =2$ case with vanishing self-interaction couplings.

22 pages, 13 figures. Non-abelian generalization of arXiv:1205.1557 [hep-ph]; v2: version accepted for publication in Journal of High-Energy Physics (JHEP)

References in corpus (3)

• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Spin 3/2 Beyond the Rarita-Schwinger Framework
• Renormalization of the QED of self-interacting second order spin 1/2 fermions

Cited by in corpus (5)

• Bosonic and fermionic Weinberg-Joos (j,0)+ (0,j) states of arbitrary spins as Lorentz-tensors or tensor-spinors and second order theory
• Covariant basis induced by parity for the $(j,0)\oplus (0,j)$ representation
• Quantization of Second Order Fermions
• Second-order pseudo-Hermitian spin-$1/2$ bosons
• Renormalization of a model for spin-1 matter fields