Pahlavani, M. R.; Pourhassan, B. Non-commutative geometry in massless and massive particles. (English) Zbl 1195.83017 Int. J. Theor. Phys. 49, No. 6, 1195-1199 (2010). Summary: 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. Cited in 4 Documents MSC: 83C10 Equations of motion in general relativity and gravitational theory 83C65 Methods of noncommutative geometry in general relativity 81R60 Noncommutative geometry in quantum theory 83A05 Special relativity Keywords:Poincaré and conformal transformation; non-commutative geometry PDFBibTeX XMLCite \textit{M. R. Pahlavani} and \textit{B. Pourhassan}, Int. J. Theor. Phys. 49, No. 6, 1195--1199 (2010; Zbl 1195.83017) Full Text: DOI References: [1] DeWitt, B.: In: Witten, L. (ed.) Gravitation (1962) [2] Bars, I.: Map of Witten’s * to Moyal’s *. Phys. Lett. B 517, 436 (2001) · Zbl 0971.81129 · doi:10.1016/S0370-2693(01)00908-X [3] Bars, I.: MSFT: Moyal star formulation of string field theory. arXiv:hep-th/0211238 [4] Bars, I., Deliduman, C., Pasqua, A., Zumino, B.: Superstar in non-commutative super-space via covariant quantization of the super-particle. Phys. Rev. D 68, 106006 (2003) · doi:10.1103/PhysRevD.68.106006 [5] Chagas-Filho, W.: Relativistic particles and commutator algebras. arXiv:hep-th/0403136 · Zbl 1148.83329 [6] Sadeghi, J., Pourhassan, B.: Relativistic particles and commutator algebras with twisted Poincaré transformation. Chaos Solitons Fractals 31, 557 (2007) · doi:10.1016/j.chaos.2006.05.066 [7] Chan, C.-T., Lee, J.-C.: String symmetries and their high-energy limit. Phys. Lett. B 611, 193–198 (2005). arXiv:hep-th/0312226 · Zbl 1247.81355 · doi:10.1016/j.physletb.2005.02.034 [8] Zee, A.: Dark energy and the nature of the graviton. Phys. Lett. B 594, 8–12 (2004). arXiv:hep-th/0309032 · doi:10.1016/j.physletb.2004.04.087 [9] Doplicher, S., Fredenhagen, K., Roberts, J.E.: Phys. Lett. B 331, 39 (1994) · doi:10.1016/0370-2693(94)90940-7 [10] Doplicher, S., Fredenhagen, K., Roberts, J.E.: Commun. Math. Phys. 172, 187 (1995) · Zbl 0847.53051 · doi:10.1007/BF02104515 [11] Kempf, A., Mangano, G.: Phys. Rev. D 55, 7909 (1997) · doi:10.1103/PhysRevD.55.7909 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.