Thermal Quantum Fields with Spatially Cut-off Interactions in 1+1 Space-time Dimensions
Gerard, Christian ; Jaekel, Christian
arXiv, 0307053 / Harvested from arXiv
Text on arXiv
We construct interacting quantum fields in 1+1 space-time dimensions, representing charged or neutral scalar bosons at positive temperature and zero chemical potential. Our work is based on prior work by Klein and Landau and Hoegh-Krohn. Generalized path space methods are used to add a spatially cut-off interaction to the free system, which is described in the Araki-Woods representation. It is shown that the interacting KMS state is normal w.r.t. the Araki-Woods representation. The observable algebra and the modular conjugation of the interacting system are shown to be identical to the ones of the free system and the interacting Liouvillean is described in terms of the free Liouvillean and the interaction.
Publié le : 2003-07-25
Classification:  Mathematical Physics,  Mathematics - Operator Algebras,  81T08, 82B21, 82 B31, 46L55 
@article{0307053,
     author = {Gerard, Christian and Jaekel, Christian},
     title = {Thermal Quantum Fields with Spatially Cut-off Interactions in 1+1
  Space-time Dimensions},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0307053}
}

Gerard, Christian; Jaekel, Christian. Thermal Quantum Fields with Spatially Cut-off Interactions in 1+1
  Space-time Dimensions. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0307053/