Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-01-14
JHEP 9904:001,1999
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, 3 figures, Latex2e. Added some remarks on the incompatibility of the AdS/CFT and the lattice regulators, and on the
Scientific paper
10.1088/1126-6708/1999/04/001
We consider contributions to the heavy quark potential, in the AdS/CFT approach to SU(N) gauge theory, which arise from first order fluctuations of the associated worldsheet in anti-deSitter space. The gaussian fluctuations occur around a classical worldsheet configuration resembling an infinite square well, with the bottom of the well lying at the AdS horizon. The eigenvalues of the corresponding Laplacian operators can be shown numerically to be very close to those in flat space. We find that two of the transverse world sheet fields become massive, which may have implications for the existence of a L{\"u}scher term in the heavy quark potential. It is also suggested that these massive degrees of freedom may relate to extrinsic curvature in an effective D=4 string theory.
Greensite Jeff
Olesen Poul
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