Eur. Phys. J. C 21, 717-721 (2001)
DOI: 10.1007/s100520100772
Electrodynamics on matrix space: non-Abelian by coordinates
A.H. FatollahiDipartimento 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 )
Abstract
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
