We derive the perturbative expansion of Wilson loops to order $g^4$ in a $SU(N)$ lattice gauge theory with twisted boundary conditions. Our expressions show that the thermodynamic limit is attained at infinite N for any number of lattice sites and allow to quantify the deviations from volume independence at finite large N as a function of the twist.
DOI: https://doi.org/10.22323/1.256.0329
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