= One-loop soliton mass correction
{title2=$\Delta M_{\rm osc}=\tfrac12\sum_n(\Omega_n-\Omega_n^{(0)})$}
In a common finite-volume <regularization in quantum field theory>, the oscillator contribution is $\Delta M_{\rm osc}=\tfrac12\sum_n(\Omega_n-\Omega_n^{(0)})$, including every discrete and continuum-derived mode and treating translation as a <collective coordinate>. Physical frequencies are $\Omega_n=m\omega_n$ when coordinates are measured in units of $m^{-1}$. A <mass counterterm> is added only afterwards. The vacuum subtraction removes the extensive <vacuum energy> but can leave an <ultraviolet divergence>.
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