Rescaled occupation number representation and the λ-transition

J.C. Lee

Physica A: Statistical Mechanics and its Applications, 1980, vol. 104, issue 1, 189-196

Abstract: The λ-transition is analyzed in the framework of quantum statistical mechanics without invoking the idea of universality. Wilson's renormalization group transformation technique is applied in what we call the rescaled occupation number representation (RONR). This reveals the role that the Bose commutation rules and the Bose distribution function play in shaping the critical behavior. The idea of RONR is a quantu, analogue of Kadanoff's spin block picture and may be adapted for condensed fermion systems as well. It is shown that the critical behavior of the λ-transition is the same as that of the ferromagnetic phase transition in two component classical spin systems to all orders of ε = 4−d. This paper deals only with the temperature region T #62 Tc.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:104:y:1980:i:1:p:189-196

DOI: 10.1016/0378-4371(80)90080-1

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