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Thermal quantum field theories are expected to obey a relativistic KMScondition, which replaces both the relativistic spectrum condition of Wightmanquantum field theory and the KMS condition, which characterises equilibriumstates in quantum statistical mechanics. In a previous work it has been shownthat the two-point function of the thermal $P(\phi)_2$ model satisfies therelativistic KMS condition. Here we extend this result to general $n$-pointfunctions.

The relativistic KMS condition for the thermal n-point functions of the P(\phi)_2 model