Dirac gamma matrices as representations of the algebra of little groups

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Baskal S.

MODERN PHYSICS LETTERS A, cilt.15, sa.13, ss.833-839, 2000 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 13
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1142/s0217732300000827
  • Dergi Adı: MODERN PHYSICS LETTERS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.833-839
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

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.