Dirac gamma matrices as representations of the algebra of little groups

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Baskal S.

MODERN PHYSICS LETTERS A, vol.15, no.13, pp.833-839, 2000 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 13
  • Publication Date: 2000
  • Doi Number: 10.1142/s0217732300000827
  • Journal Name: MODERN PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.833-839
  • Middle East Technical University Affiliated: No

Abstract

The algebra of O(3, 3) is contracted to that of E(2)-like groups in the infinite-momentum limit. It is shown through this process that there are 18 different possibilities for the representations of E(2)-like algebra if they are to be expressed in terms of Dirac gamma-matrices. It is also pointed out that the generators of this algebra are independent of the particular representation of the gamma-matrices. Possible implications of this analysis is discussed.