2007/04/30 by Youngone Lee
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1103/physrevd.76.025022
published as Phys.Rev.D76:025022,2007 · typos corrected, references added, accepted for publication in Phys. Rev. D
arxiv created 2007/06/20 · openalex publication_date 2007/07/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate one of the consequences of the twisted Poincar'e symmetry. We derive the charge conservation law and show that the equivalence principle is satisfied in the canonical noncommutative spacetime. We applied the twisted Poincar'e symmetry to Weinberg's analysis [S. Weinberg, Phys. Rev. 135, B1049 (1964).]. To this end, we generalize our earlier construction of the twisted S matrix [J. G. Bu, H. C. Kim, Y. Lee, C. H. Vac, and J. H. Yee, Phys. Rev. D 73, 125001 (2006).], which applies the noncommutativity to the Fourier modes, to the massless fields of integer spins. The transformation formula for the twisted S matrix for the massless fields of integer spin has been obtained. For massless fields of spin 1, we obtain the conservation of charge, and the universality of the coupling constant for massless fields of spin 2, which can be interpreted as the equality of gravitational mass and inertial mass, i.e., the equivalence principle.