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KMS, etc | | L. Birke
; J. Froehlich
; | | Date: |
10 Apr 2002 | | Journal: | Rev.Math.Phys. 14 (2002) 829-872 | | Subject: | Mathematical Physics | math-ph math.MP | | Abstract: | A general form of the ``Wick rotation’’, starting from imaginary-time Green functions of quantum-mechanical systems in thermal equilibrium at positive temperature, is established. Extending work of H. Araki, the role of the KMS condition and of an associated anti-unitary symmetry operation, the ``modular conjugation’’, in constructing analytic continuations of Green functions from real- to imaginary times, and back, is clarified. The relationship between the KMS condition for the vacuum with respect to Lorentz boosts, on one hand, and the spin-statistics connection and the PCT theorem, on the other hand, in local, relativistic quantum field theory is recalled. General results on the reconstruction of local quantum theories in various non-trivial gravitational backgrounds from ``Euclidian amplitudes’’ are presented. In particular, a general form of the KMS condition is proposed and applied, e.g., to the Unruh- and the Hawking effects. This paper is dedicated to Huzihiro Araki on the occasion of his seventieth birthday, with admiration, affection and best wishes. | | Source: | arXiv, math-ph/0204023 | | Services: | Forum | Review | PDF | Favorites | |
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