Free energy and phase transition of the matrix model on a plane-wave
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....
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| Language: | English |
| Published: |
2010
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| Online Access: | http://hdl.handle.net/2429/17578 |
| Summary: | 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. === Science, Faculty of === Physics and Astronomy, Department of === Graduate |
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