Unitary Representations of U(2, 2) and Massless Fields

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Abstract
This paper contains a discussion of unitary irreducible representations of the group U(2, 2) in terms of the noncompact algebra of creation and annihilation operators and some applications to massless fields. In particular, the U(2, 2) algebra yields discrete values for p4 (energy), one of its generators. The little group and wave equations of massless fields are also derived from the Lie algebra of U(2, 2).