Passivity and microlocal spectrum condition
Sahlmann, Hanno ; Verch, Rainer
arXiv, 0002021 / Harvested from arXiv
Text on arXiv
In the setting of vector-valued quantum fields obeying a linear wave-equation in a globally hyperbolic, stationary spacetime, it is shown that the two-point functions of passive quantum states (mixtures of ground- or KMS-states) fulfill the microlocal spectrum condition (which in the case of the canonically quantized scalar field is equivalent to saying that the two-point function is of Hadamard form). The fields can be of bosonic or fermionic character. We also give an abstract version of this result by showing that passive states of a topological *-dynamical system have an asymptotic pair correlation spectrum of a specific type.
Publié le : 2000-02-08
Classification:  Mathematical Physics,  General Relativity and Quantum Cosmology,  High Energy Physics - Theory 
@article{0002021,
     author = {Sahlmann, Hanno and Verch, Rainer},
     title = {Passivity and microlocal spectrum condition},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0002021}
}

Sahlmann, Hanno; Verch, Rainer. Passivity and microlocal spectrum condition. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0002021/