A noncommutative light cone from kappa-Poincaré invariant QFT

by Prof. Flavio Mercati (Università di Roma "La Sapienza")

Thursday 15 Feb 2018, 14:30 → 15:30 Europe/Rome

0M03 (Dipartimento di Fisica "E. Pancini")

I will first discuss the possible deformations of the Poincaré/(A)dS algebra into a Lie bialgebra, and what constraints are imposed on them by dimensional analysis, various degrees of isotropy and discrete symmetries. Isotropy and dimensional arguments both single out the kappa-Poincaré algebra as the unique consistent Lie-bialgebra deformation of the Poincaré algebra at first order in the Planck length. I will then present my version of a careful construction of kappa-Poincaré-invariant quantum field theory. Key to this construction, is a noncommutative version of the Pauli—Jordan function, which allows to introduce spacetime covariant commutation relations and, in the commutative case, is zero on spacelike-separated points. I will conclude by proposing a way to extract a physical prediction from this noncommutative function, and draw some tentative conclusions on the shape of the light cone on the kappa-Minkowski noncommutative spacetime.