Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-10-10
JHEP 0111 (2001) 006
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, LaTeX, 1 figure, v2: references added
Scientific paper
10.1088/1126-6708/2001/11/006
We point out that the leading infrared singular terms in the effective actions of noncommutative gauge theories arising from nonplanar loop diagrams have a natural interpretation in terms of the matrix model (operator) formulation of these theories. In this formulation (for maximal spatial noncommutativity), noncommutative space arises as a configuration of an infinite number of D-particles. We show that the IR singular terms correspond to instantaneous linear potentials between these D-particles resulting from the zero point energies of fluctuations about this background. For theories with fewer fermionic than bosonic degrees of freedom, such as pure noncommutative gauge theory, the potential is attractive and renders the theory unstable. With more fermionic than bosonic degrees of freedom, the potential is repulsive and we argue that the theory is stable, though oddly behaved.
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