Large N Matrix Mechanics on the Light-Cone

Details Large N Matrix Mechanics on the Light-Cone Large N Matrix Mechanics on the Light-Cone

2001-11-29

arxiv.org/abs/hep-th/0111280v2

Int.J.Mod.Phys. A17 (2002) 1517-1542

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, LaTex, one reference added

Scientific paper

10.1142/S0217751X02009692

We report a simplification in the large N matrix mechanics of light-cone matrix field theories. The absence of pure creation or pure annihilation terms in the Hamiltonian formulation of these theories allows us to find their reduced large N Hamiltonians as explicit functions of the generators of the Cuntz algebra. This opens up a free-algebraic playground of new reduced models -- all of which exhibit new hidden conserved quantities at large N and all of whose eigenvalue problems are surprisingly simple. The basic tool we develop for the study of these models is the infinite dimensional algebra of all normal-ordered products of Cuntz operators, and this algebra also leads us to a special number-conserving subset of these models, each of which exhibits an infinite number of new hidden conserved quantities at large N.

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