This article is cited in 7 papers

The infrared bounds method in the study of boson systems

D. P. Sankovich^a, M. Corgini<sup>bc

a</sup> Steklov Mathematical Institute, Russian Academy of Sciences
^b Universidad de La Serena
^c Universidad de Santiago de Chile

Abstract: This is a study of the equilibrium thermodynamics of a lattice boson gas with on-site repulsion and nearest neighbor site attraction. For this system, the existence of Bose condensate is proven and an equation for the lower estimate on the critical temperature is obtained. Moreover, the upper and lower bounds for the structure factor are derived. Finally, in the framework of the infrared bounds method, a Huang–Davies type Bose system is studied.

Received: 13.04.1995

DOI: 10.4213/tmf1200

 English version: Theoretical and Mathematical Physics, 1996, 108:3, 1184–1194

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