Quantum effective potential from discarded degrees of freedom

Luke M. Butcher

I obtain the quantum correction $\Delta V_{\mathrm{eff}}=({\hslash }^2/8m)[(1-4\xi \frac{d+1}{d})({\mathcal{S}}^{\prime }{)}^2+2(1-4\xi )\mathcal{S}"]$ that appears in the effective potential whenever a comp…