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If it is still of interest, next to all the excellent suggestions above there is a book from 2013 which I found rather helpful as it makes some neat observations I could not find in other texts: Nonequilibrium Many-Body Theory of Quantum Systems - Stefanucci and Leeuwen


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(This argument is for a one-dimensional system, but similar arguments can be given in higher dimensions. We work in units with $c = \hbar = e = 1$). Suppose we have some regulator procedure parameterized by a momentum cutoff $\Lambda$. Then, for distance $L$ between two parallel plates, we can expand the regularized energy sum in powers of the cutoff as ...



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