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Singlet sector of the vector model with angular potential
We study the singlet sector of large-$N$, $O(N)$ vector model on $S^1_β\times S^2_r$ in presence of an angular potential $Ω$. We compute the free energy of the model both at the free fixed point as well as the non-trivial fixed point. The model undergoes a phase transition when the temperature $T$ a
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