Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-05-03
Nucl.Phys. B618 (2001) 157-170
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, 3 figures, v1 one more reference added v2 version to appear in NPB
Scientific paper
10.1016/S0550-3213(01)00484-9
The quark-monopole potential is computed at finite temperature in the context of $AdS/CFT$ correspondence. It is found that the potential is invariant under $g \to 1/g$ and $U_T \to U_T / g$. As in the quark-quark case there exists a maximum separation between quark and monopole, and $L$-dependence of the potential exhibits a bifurcation behavior. We find a functional relation $dE_{QM}^{Reg} / dL = [(1/E_{(1,0)}^{Reg}(U_0))^2 + (1/E_{(0,1)}^{Reg}(U_0))^2]^{-1/2}$ which is responsible for the bifurcation. The remarkable property of this relation is that it makes a relation between physical quantities defined at the $AdS$ boundary through a quantity defined at the bulk. The physical implication of this relation for the existence of the extra dimension is speculated.
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