A Dual gravity study of the 2+1D compact U(1) gauge theory coupled with strongly interacting matter fields

Nov, 2004
14 pages
Published in:
  • Nucl.Phys.B 730 (2005) 164-178
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Abstract:
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=2,4,6p=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.
  • 11.15.Pg
  • 11.25.Tq
  • 11.10.Kk
  • 3D compact U(1) gauge theory
  • Large-N limit
  • String-YM correspondence
  • 3D compact U ( 1 ) gauge theory
  • Large- N limit
  • 3D compact [formula omitted] gauge theory
  • Large- N limit