Collective and relative variables for a classical Klein-Gordon field

Details Collective and relative variables for a classical Klein-Gordon field Collective and relative variables for a classical Klein-Gordon field

1998-09-03

arxiv.org/abs/hep-th/9809024v1

Int.J.Mod.Phys. A14 (1999) 3387-3420

Physics

High Energy Physics

High Energy Physics - Theory

47 pages, no figure

Scientific paper

10.1142/S0217751X99001561

In this paper a set of canonical collective variables is defined for a classical Klein-Gordon field and the problem of the definition of a set of canonical relative variables is discussed. This last point is approached by means of a harmonic analysis is momentum space. This analysis shows that the relative variables can be defined if certain conditions are fulfilled by the field configurations. These conditions are expressed by the vanishing of a set of conserved quantities, referred to as supertranslations since as canonical observables they generate a set of canonical transformations whose algebra is the same as that which arises in the study of the asymptotic behaviour of the metric of an isolated system in General Relativity.

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