Klaus Sibold

Title: Conjugate variables in QFT and non-commutative coordinates [pdf]
Abstract: For the case of spin zero we construct conjugate pairs of operators on Fock space. On states multiplied by polarization vectors coordinate operators Q conjugate to the momentum operator $P$ exist. The relevant states have positive definite norm, Lorentz covariance is non-manifestly realized, the coordinate operators do not commute. In the talk one example will be presented, for the others we refer to the original papers http://arxiv.org:1602.08289, http://arxiv.org:1602.08882v2.