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Free energy and phase transition of the matrix model on a plane-wave Hadizadeh, Shirin
Abstract
It has recently been observed that the weakly coupled plane wave matrix model has a density of states which grows exponentially at high energy. This implies that the model has a phase transition. The transition appears to be of first order. However, its exact nature is sensitive to interactions. In this thesis, we analyze the effect of interaction by computing the relevant parts of the effective potential for the Polyakov loop operator in the finite temperature plane-wave matrix model to three loop order. We also compute correction to the Hagedorn temperature to order two loops.
Item Metadata
Title |
Free energy and phase transition of the matrix model on a plane-wave
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
2006
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Description |
It has recently been observed that the weakly coupled plane wave matrix
model has a density of states which grows exponentially at high energy. This
implies that the model has a phase transition. The transition appears to
be of first order. However, its exact nature is sensitive to interactions. In
this thesis, we analyze the effect of interaction by computing the relevant
parts of the effective potential for the Polyakov loop operator in the finite
temperature plane-wave matrix model to three loop order. We also compute
correction to the Hagedorn temperature to order two loops.
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Genre | |
Type | |
Language |
eng
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Date Available |
2010-01-06
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0092491
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2006-05
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.