Understanding Radiatively Induced Lorentz-CPT Violation in Differential Regularization

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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RevTex, 14 pages, one figure drawn by FEYNMAN, several references are modified and a paragraph about a general choice on the m

Scientific paper

10.1103/PhysRevD.60.085007

We have investigated the perturbative ambiguity of the radiatively induced Chern-Simons term in differential regularization. The result obtained in this method contains all those obtained in other regularization schemes and the ambiguity is explicitly characterized by an indefinite ratio of two renormalization scales. It is argued that the ambiguity can only be eliminated by either imposing a physical requirement or resorting to a more fundamental principle. Some calculation techniques in coordinate space are developed in the appendices.

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