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Particles and Fields

Eur. Phys. J. C 21, 717-721 (2001)
DOI: 10.1007/s100520100772

Electrodynamics on matrix space: non-Abelian by coordinates

A.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 $N\times N$ 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