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Charged scalar fields and superconductivity in AdS4/CFT3.

Fox, Andrew (2010) Charged scalar fields and superconductivity in AdS4/CFT3. Masters thesis, National University of Ireland Maynooth.

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Abstract

In this thesis I shall examine the energy behaviour of a massive charged scalar field in an Anti de-Sitter-Reissner-Nordström space-time background using the AdS/CFT correspondence. After obtaining the equations of motion for the system I numerically solve for the vacuum expectation values of the energy momentum tensor of the field on an AdS4 background. It will be shown that the vev condenses as the temperature of the black hole is lowered, suggesting superconductivity. I then add a time dependent part to the scalar field and examine how it behaves on the AdS4 boundary with respect to a varying frequency and momentum. The boundary field shows evidence of the emergence of quasiparticle pairs at large momentum. The relevant Greens functions are then calculated numerically and presented as a sequence of surface and contour plots. From these we are able to determine the dispersion relations for the field. I shall also find pseudo-particle masses at zero momentum, and consequently see the lowest energy bound which a particle in this field can adopt.

Item Type: Thesis (Masters)
Keywords: Charged scalar field; Anti deSitter-Reissmner-Nordstrom space-time background; AdS/SFT; AdS4; CFT3;
Subjects: Science & Engineering > Mathematical Physics
Item ID: 2680
Depositing User: IR eTheses
Date Deposited: 29 Aug 2011 15:06
URI:

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