Eur. Phys. J. C 21, 717-721 (2001)
Electrodynamics on matrix space: non-Abelian by coordinatesA.H. Fatollahi
Dipartimento di Fisica, Universita di Roma "Tor Vergata" , INFN-Sezione di Roma II, Via della Ricerca Scientifica, 1, 00133, Roma, Italy
(Received: 28 June 2001 / Published online: 19 September 2001 -© Springer-Verlag / Società Italiana di Fisica 2001 )
We consider the dynamics of a charged particle in a space whose coordinates are hermitian matrices. Putting things in the framework of D0-branes of string theory, we mention that the transformations of the matrix coordinates induce non-Abelian transformations on the gauge potentials. The Lorentz equations of motion for matrix coordinates are derived, and it is observed that the field strengths transform like their non-Abelian counterparts. The issue of the map between theory on matrix space and ordinary non-Abelian gauge theory is discussed. The phenomenological aspect of "finite-N non-commutativity" for the bound states of D0-branes appears to be very attractive.
© Società Italiana di Fisica, Springer-Verlag 2001