Squares of White Noise, SL(2,C) and Kubo - Martin -Schwinger States

Details Squares of White Noise, SL(2,C) and Kubo - Martin -Schwinger States Squares of White Noise, SL(2,C) and Kubo - Martin -Schwinger States

2007-05-26

arxiv.org/abs/0705.3907v1

Physics

Mathematical Physics

Scientific paper

We investigate the structure of Kubo - Martin - Schwinger (KMS) states on some extension of the universal enveloping algebra of SL(2,C}. We find that there exists a one-to-one correspondence between the set of all covariant KMS states on this algebra and the set of all probability measures d\mu on the real half-line, which decrease faster than any inverse polynomial. This problem is connected to the problem of KMS states on square of white noise algebra.

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