Some issues in a gauge model of unparticles
نویسنده
چکیده
We address in a recent gauge model of unparticles the issues that are important for consistency of a gauge theory, i.e., unitarity and Ward identity of physical amplitudes. We find that non-integrable singularities arise in physical quantities like cross section and decay rate from gauge interactions of unparticles. We also show that Ward identity is violated due to the lack of a dispersion relation for charged unparticles although the Ward-Takahashi identity for general Green functions is incorporated in the model. A previous observation that the unparticle’s (with scaling dimension d) contribution to the gauge boson self-energy is a factor (2−d) of the particle’s has been extended to the Green function of triple gauge bosons. This (2− d) rule may be generally true for any point Green functions of gauge bosons.
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