Little groups, the quark model and gauge transformations

D. Han, Marilyn E. Noz, Y.S. Kim and D. Son

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 197-199

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.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:197-199

DOI: 10.1016/0378-4371(82)90282-5

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