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MiS Preprint

Preconjugate variables in quantum field theory and their use

Albert Much, Steffen Pottel and Klaus Sibold


Preconjugate variables $X$ have commutation relations with the energy-momentum $P$ of the respective system which are of a more general form than just the Hamiltonian one. Since they have been proven useful in their own right for finding new spacetimes we present here a study of them. Interesting examples can be found via geometry: motions on the mass-shell for massive and massless systems, and via group theory: invariance under special conformal transformations of mass-shell, resp.\ light-cone -- both find representations on Fock space. We work mainly in ordinary fourdimensional Minkowski space and spin zero. The limit process from non-zero to vanishing mass turns out to be non-trivial and leads naturally to wedge variables. We point out some applications and extension to more general spacetimes. In a companion paper we discuss the transition to conjugate pairs.

Quantum Field Theory, Conformal Group, Minkowski Space

Related publications

2016 Repository Open Access
Albert Much, Steffen Pottel and Klaus Sibold

Preconjugate variables in quantum field theory and their applications

In: Annals of physics, 94 (2016) 6, p. 065007