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Little groups, the quark model and gauge transformations

Author

Listed:
  • Han, D.
  • Noz, Marilyn E.
  • Kim, Y.S.
  • Son, D.

Abstract

Two modern applications of Wigner's original work on the Poincaré group are discussed. The little group for a particle with non-zero mass is O(3), and that for a massless particle is isomorphic to E(2). First, we use the covariant harmonic-oscillator model to illustrate that the basic symmetry of the space-time separation between the quarks inside a hadron is isomorphic to that of O(3). Second, we give a realization of the E(2) group which described both the rotation and gauge transformation of the photon wave function.

Suggested Citation

  • Han, D. & Noz, Marilyn E. & Kim, Y.S. & Son, D., 1982. "Little groups, the quark model and gauge transformations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 114(1), pages 197-199.
    • Handle: RePEc:eee:phsmap:v:114:y:1982:i:1:p:197-199
    DOI: 10.1016/0378-4371(82)90282-5
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