Phase transition of a vector operator in AdS-CFT
Name
849744532-MIT.pdf
Description
Full printable version
Size
1.95 MB
Format
Adobe PDF
Checksum (MD5)
3aeb4e81477f786d53067750724c55b2
Author(s)
Zhao, Ying Ph. D. Massachusetts Institute of Technology
Advisor(s)
Hong Liu.
Date Issued
2012
Publisher
Massachusetts Institute of Technology
Abstract
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.
Description
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Physics, 2012.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 43-44).
Subjects
Physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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copyright. They may be viewed from this source for any purpose, but
reproduction or distribution in any format is prohibited without written
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