International Journal of Theoretical Physics

, Volume 49, Issue 6, pp 1195–1199 | Cite as

Non-commutative Geometry in Massless and Massive Particles

Article
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Abstract

In this paper, we study the symmetries of massless and massive particles action. By considering the non-commutative space-time, we find appropriate non-commutative relation for relativistic particles which leaves invariant the non-commutative Minkowski space-time. We show that non-commutativity break the scale and conformal invariance in massless and massive action. So, in non-commutative space-time the massless and massive particles have same symmetry.

Keywords

Twisted Poincaré and conformal transformation Non-commutative geometry 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of PhysicsIslamic Azad University—Ayatollah Amoli BranchAmolIran
  2. 2.Department of PhysicsMazandaran UniversityBabolsarIran

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