Quantum Groups and Field Theory

Details Quantum Groups and Field Theory Quantum Groups and Field Theory

2000-03-21

arxiv.org/abs/hep-th/0003189v1

Mod.Phys.Lett. A15 (2000) 1709-1716

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, TeX file

Scientific paper

10.1142/S0217732300002218

When the symmetry of a physical theory describing a finite system is deformed by replacing its Lie group by the corresponding quantum group, the operators and state function will lie in a new algebra describing new degrees of freedom. If the symmetry of a field theory is deformed in this way, the enlarged state space will again describe additional degrees of freedom, and the energy levels will acquire fine structure. The massive particles will have a stringlike spectrum lifting the degeneracy of the point-particle theory, and the resulting theory will have a non-local description. Theories of this kind naturally contain two sectors with one sector lying close to the standard theory while the second sector describes particles that should be more difficult to observe.

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