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Paper   IPM / P / 8489
School of Physics
  Title:   Relativistic Particles and Commutator Algebras with Twisted Poincare� Transformation
1.  J. Sadeghi
2.  B. Pourhassan
  Status:   Published
  Journal: Chaos, Solitons and Fractals
  Vol.:  31
  Year:  2007
  Pages:   557-560
  Supported by:  IPM
In this paper we consider the massive and massless action for relativistic particle in D-dimensional flat space�time. We show that the Poincare� space�time algebra in the commutator version, and the Killing field provides the generators of the Poincare� algebra. We apply the non-commutative version to action, which is not Poincare� invariant. This leads us to consider the twisted Poincare� transformation, finally by using this transformation, we see that the action is invariant. By using the non-commutative space in massless action, in contrast to the commutative case the scale and conformal invariance is broken by massive term [For an interesting discussion of the cosmological constant problem see A. Zee, Dark energy and the nature of the graviton, <arXiv:hep-th/0309032>].

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