Conformal symmetry and quantum localization in space-time

摘要

The classical procedures which define the relativistic notion of space-timecan be implemented in the framework of Quantum Field Theory. Only relying onthe conformal symmetries of field propagation, time-frequency transfer andlocalization lead to the definition of time-frequency references and positionsin space-time as quantum observables. Quantum positions have a non vanishingcommutator identifying with spin, both observables characterizing quantumlocalization in space-time. Frame transformations to accelerated frames differfrom their classical counterparts. Conformal symmetry nevertheless allows toextend the covariance rules underlying the formalism of general relativityunder an algebraic form suiting the quantum framework.