\b{eta}-KMS Green functions generating functionals - the convexity based approach

TL;DR

This paper introduces a convexity-based approach to constructing stochastically positive ta-KMS Green functionals on CCR-algebras, extending free Bose matter functionals to new non-quasi-free thermal models with modular structures.

Contribution

It develops a constructive method for generating new ta-KMS Green functionals via convex superpositions, including non-quasi-free thermal models with modular structures.

Findings

Stable properties of ta-KMS functionals under convex combinations

Construction of non-quasi-free thermal Green functionals from free Bose models

Elementary properties of the constructed models

Abstract

The notion of the stochastically positive \b{eta}-KMS (Euclidean time ) Green functionals on ( the abelian sectors of ) the CCR-algebras in Weyl form has been introduced .The main observation is that the essential properties of such functionals are stable against taking convex superpositions of them. Starting from the free Bose matter describing functionals( the condensed state situation is included as well) a constructive approach to the constructions of a new ,of such type functionals is presented. In particular , starting from the free Bose matter Green functionals a class of not quasi-free thermal functionals, together with the corresponding modular structures have been constructed. Some elementary properties of models constructed are being presented.