Speaker
Description
An accurate study of anomalies shows that, when the Standard Model and General Relativty are minimally coupled and merged into a unique quantum field theory, the cancelation of gauge and gravity anomalies dictate very important restrictions. In this talk I discuss a proposal for the overall anomaly free theory. The basic structure of the latter consists of two sectors, left and right, with chirally mirror fermions and scalars,as well as $SU(3)$ and $U(1)$ gauge fields, while the $SU(2)$ gauge fields as well as the metric are in common to both sectors. This structure is dictated by the request to cancel all dangerous anomalies. The left sector consists of the fermion, gauge and scalar fields of the SM, now minimally coupled to gravity. The right sector is a mirror image of the left, with distinct fields, except the metric and the $SU(2)$ gauge potentials. We propose and motivate the interpretation of the right sector as the dark matter one. Another topic covered here is the role of Weyl symmetry and its possible applications to cosmology and its theoretical fallouts on renormalization and unitarity of the model. In particular a background solution of the Weyl invariant theory is shown, which may apply to the very early stages of the universe. This solution also suggests interesting applications to the cosmological constant problem. On the quantum field theory side the subject of Weyl symmetry and Weyl anomalies is reviewed and, among other things, an application of the WZ terms is illustrated to the problem of one-loop quantization of the model which may avoid negative norm states.