# The relativistic KMS condition for the $P(\phi)_2$ model

#### Abstract:

The spectrum condition of vacuum quantum field theories allow for an analytic continuation of the correlation functions. Thermal quantum field theories do not enjoy a spectrum condition. And the KMS condition only offers a much smaller domain of holomorphy. Bros and Buchholz argued, that thermal field theories should also admit a larger domain of holomorphy as a remnant of the vacuum sector. The talk will give the proof of this relativistic KMS condition for the $P(\phi)_2$ model.