Rotating D3-branes and QCD in three dimensions. (English) Zbl 0938.81037
Summary: The authors investigate the rotating D3-brane solution with maximum number of angular momentum parameters. After determining the angular velocities, Hawking temperature, ADM mass and entropy, they use this geometry to construct general three-parameter models of nonsupersymmetric pure \(SU(N)\) Yang-Mills theories in \(2+1\) dimensions. They calculate glueball masses in the WKB approximation and obtain closed analytic expressions for generic values of the parameters. They also determine the masses of Kaluza-Klein states associated with internal parts of the ten-dimensional metric and investigate the parameter region where some of these states are decoupled. To leading order in \(1/\lambda\) and \(1/N\) (where \(\lambda\) is the ’t Hooft coupling) they find a global \(U(1)^3\) symmetry and states with masses comparable to glueball masses, which have no counterpart in the more familiar (finite \(\lambda,N\)) Yang-Mills theories.
MSC:
81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
81Q20 | Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory |
81V05 | Strong interaction, including quantum chromodynamics |
83E30 | String and superstring theories in gravitational theory |