Why is the partition function(adsbygoogle = window.adsbygoogle || []).push({});

##Z[J]=\int\ \mathcal{D}\phi\ e^{iS[\phi]+i\int\ d^{4}x\ \phi(x)J(x)}##

also called the generating function?

Is the partition function a q-number or a c-number?

Does it make sense to talk of a partition function in classical field theory, or can we define partition functions only in quantum field theories?

Is the source ##J## a q-number or a c-number?

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# A Partition function in quantum field theory

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