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Florian Robl

Publications and source records attributed to Florian Robl.

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

Thermal quantum field theories are expected to obey a relativistic KMS condition, which replaces both the relativistic spectrum condition of Wightman quantum field theory and the KMS condition, which characterises equilibrium states in quantum statistical mechanics. In a previous work it has been shown that the two-point function of the thermal $P(ϕ)_2$ model satisfies the relativistic KMS condition. Here we extend this result to general $n$-point functions.

math-ph

The Hölder Inequality for KMS States

We prove a Hölder inequality for KMS States, which generalises a well-known trace-inequality. Our results are based on the theory of non-commutative $L_p$-spaces.

math-ph