Torus partition function of a free boson
= Torus partition function of a free boson
For a noncompact free boson with target <volume> $V$, the torus partition function is $Z=V[2\pi\sqrt{\operatorname{Im}\tau}]^{-1}|\eta(\tau)|^{-2}$ in the <normalization> where the zero-mode <Hamiltonian> is $p^2/2$.