The limiting free energy of the interacting Bose gas is expressed via a variational problem over stationary point processes of loops and interlacements that minimizes interaction energy plus a new specific relative entropy density.
Sznitman , On bulk deviations for the local behavior of random interlacements, Ann
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The free energy of the interacting Bose gas: a variational description with loops and interlacements
The limiting free energy of the interacting Bose gas is expressed via a variational problem over stationary point processes of loops and interlacements that minimizes interaction energy plus a new specific relative entropy density.