Lectures in the Spring of 2004, Mon and Wed 10-12, starting 19 Jan 2004:


1. Pages 1 to 4: Supersymmetrize pure glue QCD, susy transformations, constraints on d, N, getting from d=10, N=1 to d=4, N=4, thermodynamics of N=4 susy Yang-Mills in the weak coupling and strong coupling limits, weak coupling is standard hot field theory, strong coupling illustrates what one can try to do with string theory.

2. Pages 5 to 8: Outline of closed string theories in the effective field theory limit.

3. Pages 9 to 11: Field content and actions of TypeIIA and IIB sugras. How branes appear as their classical solutions.

4. Pages 12 to 14: Some more motivation for QCD-String connection, viscosity and 1+1 d Bjorken flow in ultrarelativistic heavy ion collisions, both experimental data and QCD-String calculations indicate that viscosity/entropy ratio is very small, flow is nearly adiabatic.

5. Pages 15 to 16: Qualitative discussion of 3-brane metric in 10d.

6. Pages 17 to 20: Einstein-Hilbert action.

7. Pages 21 to 25: Black hole metric.

8. Pages 26 to 28: Deriving Hawking Temperature from the metric.

9. Pages 29 to 37: De Sitter and Anti de Sitter metrics by embedding. Metrics conformally equivalent to flat space.

10. Pages 38 to 47: Pre-QCD particle physics from the 1960's: particle spectrum, mass vs. spin, exponential density of states, Hagedorn temperature, Regge amplitudes, resonance-Regge duality, large angle scattering and scaling rules, dual models.

11. Pages 48 to 54: QCD at large Nc, exact solution of 1+1d QCD at large Nc, 1+1d ED with linear confinement (A1=0 gauge) or (in the A0=0 gauge) as an example of the anomaly and connection between fermion energy levels and gauge fields (this is a side-track from the main topic).

12. Pages 55 to 62: Dp branes. We started by discussing p-branes as classical solutions of the low energy effective theory of massless excitations (including gravity) of closed string theory. Now consider how these also arise as objects in which open strings with fixed endpoints (which at first glance seems like a bad violation of translational invariance) end. Open strings with fixed end points also arise if one applies T-duality to a closed string multiply wound around a compactified coordinate.

13. Pages 63 to 70: Appearance of U(N) gauge theory in connection of an open string theory with fixed end points. Branes (especially N of them in one multidimensional position) as sources of supergravity fields. Born-Infeld action. Validity criteria (string theory -> supergravity, supergravity -> classical solutions thereof). Numbers finally: glueball masses in 3d "QCD", which is seen not to be the real QCD.