ar X iv : h ep - t h / 97 10 23 4 v 3 1 5 D ec 1 99 7 Modular Localization , H - Temperatures and the Bethe Ansatz Structure
نویسنده
چکیده
The recently proposed construction approach to nonperturbative QFT, based on modular localization, is reviewed and extended. It allows to unify black holes physics and H-temperatures (H standing for Hawking or Horizon) with the bootstrap-formfactor program for nonperturbative construction of low dimensional QFT. In case of on-shell particle number conservation, the equations characterizing the modular localization spaces for wedges are Bethe-Ansatz equation in the form as recently obtained in the treatment of factorizable models. 1 Historical Remarks and Present State The modular theory of von Neumann algebras is one of the few theories of which the foundations received independent contributions from mathematicians and quantum field theorist; a fact which testifies to the naturalness of the modular concepts. During the 60’s in a tour de force the mathematician Tomita obtained the most important statements which were received by his contemporaries with a mixture of surprise anddisbelief. Shortly afterwards his Japanese colleague Takesaki [2] corrected and further developed the theory, this time already using concepts of the Haag, Hugenholtz, Winnink[1] description of the infinite volume (thermodynamic) limit for thermal states on QFT systems which were elaborated at approximately the same time as Tomita’s contributions. As usual, 1The reader is urged to read the lecture notes of R.Kadison which will be published in the proceedings of the 1997 Summer School in Portugal on ”Noncommutative Geometry and Applications”. 2Whenever references have entered textbooks, we prefer to quote the latter.
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ar X iv : h ep - t h / 97 10 23 4 v 1 3 0 O ct 1 99 7 Modular Localization , H - Temperatures and the Bethe Ansatz Structure
The recently proposed construction approach to nonperturbative QFT, based on modular localization, is reviewed and extended. It allows to unify black holes physics and H-temperatures (H standing for Hawking or Horizon) with the bootstrap-formfactor program for nonperturbative construction of low dimensional QFT. In case of on-shell particle number conservation, the equations characterizing the ...
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The recently proposed construction approach to nonperturbative QFT, based on modular localization, is reviewed and extended. It allows to unify black holes physics and H-temperatures (H standing for Hawking or Horizon) with the bootstrap-formfactor program for nonperturbative construction of low dimensional QFT. In case of on-shell particle number conservation, the equations characterizing the ...
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