Bubble nucleation in finite-density gauge theory using the AdS/CFT correspondence
We will be using the N = 4 Super Yang-Mills theory as a "toy model" of QCD to model the spontaneously broken symmetry (Higgsing) SU (Nc) → SU (Nc − n) × U (n). We model the the instability of the phase with unbroken color symmetry (”normal phase”) and the mechanism with which we would have the phase transition into the color superconducting/Higgs phase at strong coupling. We will study the transition both on a three-sphere and in flat-space. To ease the reader into the material, we start of with a discussion about phase transitions and bubble nucleation. We then move on to talk about subjects such as quantum field theory, string theory and the anti de-Sitter/conformal field theory (AdS/CFT) correspondence. Lastly, we look at the rotating black brane solution and the results for the bubble nucleation.
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