The scaling limits of KMS states on the Rindler horizon

Details The scaling limits of KMS states on the Rindler horizon The scaling limits of KMS states on the Rindler horizon

2002-01-31

arxiv.org/abs/math-ph/0201065v1

Zeszyty Naukowe Politechniki Zielonogorskiej, vol. 126 (2001) 103-113

Physics

Mathematical Physics

pdf, 11 pages

Scientific paper

The standard concept of scaling limits of distributions on manifolds is reformulated, and then a new framework for scaling at boundary points is provided. Next, we introduce a class of so-called L1 - KMS states, which is subsequently fully characterized for the Rindler wedge. Using these tools, we compute rigorously the scaling limit of the regular KMS state of the free scalar quantum field on the Rindler horizon. Thereby, we correct certain inaccurate results of founding paper [1], nevertheless fully corroborating the physical essence of them.

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