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Corgini, M.; Sankovich, D. P.

doi:10.1023/a:1019623811451

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“…The possibility of applying infra-red estimates for a rigorous proof of the BC was advanced in 1980 [27]. For various model Bose systems, the method of infra-red bounds was used earlier in [28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Proof of Bose condensation for weakly interacting lattice bosons

Sankovich¹

2018

J. Phys. Commun.

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A weakly interacting Bose gas on a simple cubic lattice is considered. We prove the existence of the standard or zero-mode Bose condensation at sufficiently low temperature. This result is valid for sufficiently small interaction potential and small values of chemical potential. Our method exploits infra-red bound for the suitable two-point Bogolyubov's inner product. We do not use the reflection positivity or some expansion methods.

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