Abstract
The AdS/CFT correspondence has provided new and useful insights into the nonperturbative regime of strongly coupled gauge theories. We construct a class of models meant to mimic Yang-Mills theory using the superpotential method. This method allows us to efficiently address the problem of solving all the equations of motion. The conformal symmetry is broken in the infrared by a dilaton field. Using a five-dimensional action we calculate the mass spectrum of scalar glueballs. This spectrum contains a tachyon, indicating an instability in the theory. We stabilize the theory by introducing a cosmological constant in the bulk and a pair of 3-branes, as in the Randall-Sundrum model. The scalar glueball masses computed by lattice gauge theory are then described very well by just a few parameters. Prospects for extending the model to other spins and parities and to finite temperature are considered.
Highlights
The anti-de Sitter (AdS)=CFT correspondence has proven to be a useful mathematical tool for the analysis of certain strongly coupled gauge theories
Our goal is to find a relatively simple analytic potential for Yang-Mills theory which is self-consistent, which satisfies the basic requirements of the gauge/gravity correspondence, and which reproduces the scalar glueball mass spectrum as computed in lattice gauge theory
II, we review the results for scalar glueball masses computed in lattice gauge theory
Summary
The AdS=CFT correspondence has proven to be a useful mathematical tool for the analysis of certain strongly coupled gauge theories. This correspondence establishes a connection between a d-dimensional super–Yang Mills (SYM) theory and a weakly coupled gravitational theory in d þ 1 dimensions [1,2,3]. QCD is a strongly coupled gauge theory at hadronic scales, making it a prime candidate for the application of the gauge/gravity correspondence. It is still not known whether a gravitational dual to QCD exists.
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