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arXiv · 2211.03569

Gibbs measures for the repulsive Bose gas

Tianyi Bai·Quirin Vogel
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Abstract

We prove the existence of Gibbs measures for the Feynman representation of the Bose gas with non-negative interaction in the grand-canonical ensemble. Our results are valid for all negative chemical potentials as well as slightly positive chemical potentials. We consider both the Gibbs property of marked points as well as a Markov--Gibbs property of paths.

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Tianyi Bai, Quirin Vogel. 2022-11-07. Gibbs measures for the repulsive Bose gas. https://arxiv.org/abs/2211.03569

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