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UBC Theses and Dissertations

Deconfinement of gauge theories at high temperature Yeh, Huai-Che


To derive the phase transition of large N gauge theories, the calculation of the partition function is restricted to the singlet sector. In this thesis, we examined whether the singlet constraint of gauge theory at the deconfinement phase was a physical consequence. We found changing the integration variables from group elements to eigenvalues explains the discrepancy of the free energy between imposing and relaxing the single constraint. Gauge theory cannot simply relax the singlet constraint at high temperature without adding a normalization factor.

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