Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-09-29
Nucl.Phys. B679 (2004) 99-126
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX2e, 31 pages, 1 figure, v2: references added, various parts and the section for discussion are modified, v3: version to a
Scientific paper
10.1016/j.nuclphysb.2003.12.003
In the plane-wave matrix model, the background configuration of two membrane fuzzy spheres, one of which rotates around the other one in the SO(6) symmetric space, is allowed as a classical solution. We study the one-loop quantum corrections to this background in the path integral formulation. Firstly, we show that each fuzzy sphere is stable under the quantum correction. Secondly, the effective potential describing the interaction between fuzzy spheres is obtained as a function of r, which is the distance between two fuzzy spheres. It is shown that the effective potential is flat and hence the fuzzy spheres do not feel any force. The possibility on the existence of flat directions is discussed.
Shin Hyeonjoon
Yoshida Kentaroh
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