On the Radiatively Induced Lorentz and CPT Violating Chern-Simons Term

The radiatively induced Lorentz and CPT violating Chern-Simons terms in QED is calculated based on the recently developed loop regularization method [Y.L. Wu, Int.J.Mod.Phys.A18 (2003) 5363, hep-th/0209021; Y.L. Wu, Mod.Phys.Lett.A19 (2004) 2191, hep-th/0311082] for quantum field theories. It enables us to make general comments on the various results in literature and obtain a consistent result when simultaneously combining the evaluation for the chiral anomaly which has a unique form once the vector current is kept conserved.Comment: 10 pages, no figures, published versio

Incompatibility of different customary kaon phase convention

The conventions that Wu and Yang assumed for the kaon phases in the context of $CP$ symmetrical two-pion decay channels fix the relative kaon phase. This fact, apparently not emphasized sufficiently in the past, has recently been overlooked by Hayakawa and Sanda. In particular, Wu and Yang fix the relative phase to a different value than the one resulting from the convention $CP|K^{0}\rangle = |\overline{K^{0}}\rangle$. The difference between the two values is made up of possible contributions from $CPT$- and direct $CP$-violations during the decay of a kaon into a two-pion state of isospin zero.Comment: 5 pages, LaTe

Comment on Cyclic quantum-evolution dependence on the Hamiltonian and geometric phase

It is shown that the analysis and the main result of the article by L-A. Wu [Phys. Rev. A 53, 2053 (1996)] are completely erroneous.Comment: LaTeX file, 2 page