Electrodynamics On Matrix Space: Non-Abelian By Coordinates

Details Electrodynamics On Matrix Space: Non-Abelian By Coordinates Electrodynamics On Matrix Space: Non-Abelian By Coordinates

2001-04-24

arxiv.org/abs/hep-th/0104210v4

Eur.Phys.J.C21:717-721,2001

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 2 figures, 2 tables, LaTeX. v2: small modifications in text and formulas. v3 and v4: signs are corrected

Scientific paper

10.1007/s100520100772

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 also 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.

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