Physics NotePublished
The Theory of Anomalous Scale Dimensions
Bert Schroer
2000
Publication details
- Authors
- Bert Schroer
- Type
- Physics Note
- Status
- Published
- Publication date
- 2000
- Description
- Using the previously gained insight about the particle/field relation in conformal quantum field theories which required interactions to be related to the existence of particle-like states associated with fields of anomalous scaling dimensions, we set out to construct a classification theory for the spectra of anomalous dimensions. We find that the latter are related to the phases of the center of the covering group <math>Z(\tilde{SO(d,2)})</math>. The structure of the latter results in turn from the "S-T structure" of the timelike global charge transport around the Dirac-Weyl compactified Minkowski space which is nontrivial if and only if there is a ``Huygens'' (timelike) braid group structure. The latter is not related to statistics (spacelike interchange) but rather draws its raison d'etre from the timelike Huygens principle (timelike commutativity), a characteristic property of conformal observables, as well as from the existence of a timelike ordering. The central structure of conformal theories evade the consequences of the Coleman-Mandula theorem in a remarkably profound manner.
- Year
- 2000
- Number
- CBPF-NF-040/00
- Linked to a thesis
- No
- Linked to a grant
- No