Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-11-25
Nucl.Phys. B730 (2005) 164-178
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, 4 figures; revised introduction in v3
Scientific paper
10.1016/j.nuclphysb.2005.09.033
We consider the D2-brane probe action in the gravity background dual to N coincident Dp-branes by treating the separation between the D2- and Dp-branes as a nondynamical parameter for $p=2,4,6$. The gauge coupling, the core size of a non-BPS instanton and the mass gap of the compact U(1) gauge theory in the D2-brane are determined as a function of the separation in the type IIA gravity region. The results are interpreted in terms of the 2+1D U(1) gauge theory coupled with the matter fields which are also strongly coupled with the p+1D SU(N) gauge field. It is shown that strong coupling of the matter fields to the SU(N) gauge field can drastically modify their screening of the U(1) gauge field. The non-perturbative dependence of the U(1) gauge coupling on the energy scale is obtained.
Lee Sung-Sik
Wen Xiao Gang
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