Renormalization of Lorentz violating theories

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V.A. Kostelecký, C.D. Lane and A.G.M. Pickering, One-loop renormalization of Lorentz-violating electrodynamics, Phys. Rev. D 65 (2002) 056006 and arXiv:hep-th/0111123; D. Colladay and P. McDonald, One-Loop renormalization of pure Yang-Mills with Lorentz violation, Phys. Rev. D 75 (2007) 105002 and hep-ph/0609084; A.A. Andrianov, R. Soldati and L. Sorbo, Dynamical Lorentz symmetry breaking from (3+1) axion-Wess-Zumino model, Phys. Rev. D 59 (1998) 025002 and arXiv:hep-th/9806220

1998

Cited alongside, same era.

R. Jackiw and V.A. Kostelecký, Radiatively induced Lorentz and CPT violation in electrodynamics, Phys. Rev. Lett. 82 (1999) 3572 and arXiv:hep-ph/9901358; M. Pèrez-Victoria, Exact calculation of the radiatively induced Lorentz and CPT violation in QED, Phys. Rev. Lett. 83 (1999) 2518 and arXiv:hep-th/99050618; J.M. Chung and P. Oh, Lorentz and CPT violating Chern-Simons term in the derivative expansion of QED, Phys. Rev. D 067702 (1999) and arXiv:hep-th/9812132; G. Bonneau, Regularization: many recipes, but a unique principle, Ward identities and normalization conditions: The case of CPT violation in QED, Nucl. Phys. B 593 (2001) 398 and arXiv:hep-th/0008210; A.A. Andrianov, P. Giacconi and R. Soldati, Lorentz and CPT violations from Chern-Simons modifications of QED, JHEP 02 (2002) 030 and arXiv:hep-th/0110279; B. Altschul, Gauge invariance and the Pauli-Villars regulator in Lorentz- and CPT-violating electrodynamics, Phys. Rev. D 70 (2004) 101701 and arXiv:hep-th/0407172; D. Ebert, V. Ch. Zhukovsky, A.S. Razumovsky, Chern-Simons - like term generation in an extended model of QED under external conditions, Phys. Rev. D 70 (2004) 025003 and arXiv:hep-th/0401241; O.A. Battistel and G. Dallabona, Scale ambiguities in perturbative calculations and the value for the radiatively induced Chern-Simons term in extended QED, Phys. Rev. D 72 (2005) 045009

2004

Later among the works it cites.