No Lee-Wick Fields out of Gravity

We investigate the gravitational one-loop divergences of the standard model in large extra dimensions, with gravitons propagating in the (4+delta)-dimensional bulk and gauge fields as well as scalar and fermionic multiplets confined to a three-brane. To determine the divergences we establish a cut-off regularization which allows to extract gauge invariant counterterms. In contrast to the claim of a recent paper [arXiv:0807.0132], we show that the fermionic and scalar higher derivative counterterms do not coincide with the higher derivative terms in the Lee-Wick standard model. We argue that even if the exact Lee-Wick higher derivative terms were found, as in the case of the pure gauge sector, this would not allow to conclude the existence of the massive ghost fields corresponding to these higher derivative terms in the Lee-Wick standard model.

04.50.Cd
12.60.Cn
11.15.Bt
Lee-Wick model: standard model
derivative: high
fermion: multiplet
scalar particle: multiplet
invariance: gauge
renormalization: gravitation
space-time: higher-dimensional

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