Phase transition of a vector operator in AdS-CFT

In this thesis, we studied a vector operator in finite density system through AdS-CFT correspondence. By numerically solving the wave equations of the corresponding vector field in a AdS-RN black hole background geometry, we found poles of the retarded Green's functions in momentum space, which indicate possible instabilities. We found that existence of such poles depends a parameter r,, which indicates possible phase transitions when we adjust K through some critical values. Interestingly, we also found that depending on the conformal dimension of the operator, the transitions in transverse and longitudinal directions may behave in the same way, or in the opposite way.

Department dc:contributor.department

Massachusetts Institute of Technology. Department of Physics.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2012

Author dc:creator

• Zhao, Ying Ph. D. Massachusetts Institute of Technology

Advisor dc:contributor.advisor

• Hong Liu.

• Physics.

Statement dc:rights

• M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/79510

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/79510