Was SN1997ff at z~1.7 magnified by gravitational lensing?

The quest for the cosmological parameters has come to fruition with the identification of a number of supernovae at a redshift of $z\sim1$. Analyses of the brightness of these standard candles reveal that the Universe is dominated by a large cosmological constant. The recent identification of the $z\sim1.7$ SN1997ff in the northern Hubble Deep Field has provided further evidence for this cosmology. Here we examine the case for gravitational lensing of SN1997ff due to the presence of galaxies lying along our line of sight. We find that, while the alignment of SN1997ff with foreground masses was not favorable for it to be multiply imaged and strongly magnified, two galaxies did lie close enough to result in significant magnification: $\mu\sim1.4$ for the case where these elliptical galaxies have velocity dispersion $200 {\rm km/s}$. Given the small difference between supernova brightnesses in different cosmologies, detailed modeling of the gravitational lensing properties of the intervening matter is therefore required before the true cosmological significance of SN1997ff can be deduced.Comment: 3 pages, 2 figures. Accepted for publication in MNRAS. Missing reference adde

Lorentz-violating Yang-Mills theory: discussing the Chern-Simons-like term generation

We analyze the Chern-Simons-like term generation in the CPT-odd Lorentz-violating Yang-Mills theory interacting with fermions. Moreover, we study the anomalies of this model as well as its quantum stability. The whole analysis is performed within the algebraic renormalization theory, which is independent of the renormalization scheme. In addition, all results are valid to all orders in perturbation theory. We find that the Chern-Simons-like term is not generated by radiative corrections, just like its Abelian version. Additionally, the model is also free of gauge anomalies and quantum stable.Comment: 16 pages. No figures. Final version to appear in the Eur.Phys.J.