Charged scalar fields and superconductivity in AdS4/CFT3.
Masters thesis, National University of Ireland Maynooth.
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.
||Charged scalar field; Anti deSitter-Reissmner-Nordstrom space-time background; AdS/SFT; AdS4; CFT3;
||Science & Engineering > Mathematical Physics
||29 Aug 2011 15:06
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