Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
New Symmetry Principles in Quantum Field Theory

New Symmetry Principles in Quantum Field Theory

Frölich, J.
't Hooft, Gerard
Jaffe, Arthur

Paperback

Series: NATO Science Series B:, Book 295

General GardeningGeneral SciencePhysics

ISBN10: 1461365384
ISBN13: 9781461365389
Publisher: Springer Nature
Published: Oct 28 2012
Pages: 529
Weight: 2.04
Height: 1.09 Width: 7.00 Depth: 10.00
Language: English
Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify atomic spectra. And until recently it was thought that symmetries in quantum mechanics should be groups. But it is not so. There are more general algebras, equipped with suitable structure, which admit a perfectly conventional interpretation as a symmetry of a quantum mechanical system. In any case, a trivial representation of the algebra is defined, and a tensor product of representations. But in contrast with groups, this tensor product needs to be neither commutative nor associative. Quantum groups are special cases, in which associativity is preserved. The exploitation of such Quantum Symmetries was a central theme at the Ad- vanced Study Institute. Introductory lectures were presented to familiarize the participants with the al- gebras which can appear as symmetries and with their properties. Some models of local field theories were discussed in detail which have some such symmetries, in par- ticular conformal field theories and their perturbations. Lattice models provide many examples of quantum theories with quantum symmetries. They were also covered at the school. Finally, the symmetries which are the cause of the solubility of inte- grable models are also quantum symmetries of this kind. Some such models and their nonlocal conserved currents were discussed.

Also in

General Gardening

View All