For radially symmetric potentials at beta = 2, the log N coefficient in the hard-wall partition function is -1/4 for an annulus and -1/3 for a disk when the wall lies strictly inside the droplet, instead of the usual -1/12.
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Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall
For radially symmetric potentials at beta = 2, the log N coefficient in the hard-wall partition function is -1/4 for an annulus and -1/3 for a disk when the wall lies strictly inside the droplet, instead of the usual -1/12.