Advertisement

Communications in Mathematical Physics

, Volume 67, Issue 2, pp 179–186 | Cite as

On the structure of symmetry generators

  • W. D. Garber
  • H. Reeh
Article

Abstract

In a field theoretic framework we investigate generators of symmetry transformations induced by conserved local, not necessarily translationally covariant currents. Assuming the invariance of the vacuum and a mass gap, it is shown that the generator on one-particle states in general can be any polynomial of the generators of the Poincaré group and the internal symmetries. We give an example showing that the generator, defined as an integral over a conserved current, in spite of leaving the vacuum invariant, need not be self-adjoint.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Garber, W.D., Reeh, H.: J. Math. Phys.19, 59–66 (1978)Google Scholar
  2. 2.
    Garber, W.D., Reeh, H.: J. Math. Phys.19, 985–986 (1978)Google Scholar
  3. 3.
    Schwartz, J.: J. Math. Phys.2, 271–290 (1961)Google Scholar
  4. 4.
    Coleman, S., Mandula, J.: Phys. Rev.159, 1251–1256 (1967)Google Scholar
  5. 5.
    Lopuszanski, J.T.: J. Math. Phys.12, 2401–2412 (1971)Google Scholar
  6. 6.
    Kraus, K., Landau, L.J.: Commun. Math. Phys.24, 243–252 (1972)Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • W. D. Garber
    • 1
  • H. Reeh
    • 1
  1. 1.Institut für Theoretische PhysikUniversität GöttingenGöttingenGermany

Personalised recommendations