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An upper-symbol approach to $Φ^4_d$ limits of Bose gases

Liang, Hao
arXiv (All) · Papers
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analysis-of-pdesmathematical-physicsprobability
We study the high-temperature derivation of $Φ^4_d$ measures from grand-canonical Bose gases on two- and three-dimensional tori. Building on the upper-symbol variational approach of the author's earlier work, we use relative entropy to give a simple, unified proof of relative free-energy convergence
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