Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-08-14
Nucl.Phys.B499:519-546,1997
Physics
High Energy Physics
High Energy Physics - Theory
28 pages of LateX, removal of misprints and extension of the last section. more misprints corrected
Scientific paper
10.1016/S0550-3213(97)00358-1
It has been known that the Wigner representation theory for positive energy orbits permits a useful localization concept in terms of certain lattices of real subspaces of the complex Hilbert -space. This ''modular localization'' is not only useful in order to construct interaction-free nets of local algebras without using non-unique ''free field coordinates'', but also permits the study of properties of localization and braid-group statistics in low-dimensional QFT. It also sheds some light on the string-like localization properties of the 1939 Wigner's ''continuous spin'' representations.We formulate a constructive nonperturbative program to introduce interactions into such an approach based on the Tomita-Takesaki modular theory. The new aspect is the deep relation of the latter with the scattering operator.
No associations
LandOfFree
Wigner Representation Theory of the Poincare Group, Localization, Statistics and the S-Matrix does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Wigner Representation Theory of the Poincare Group, Localization, Statistics and the S-Matrix, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wigner Representation Theory of the Poincare Group, Localization, Statistics and the S-Matrix will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-358418