  We observe that probing certain classical field theories by external sources
uncovers the underlying renormalization group structure, including the
phenomenon of dimensional transmutation, at purely-classical level. We perform
this study on an example of $\lambda\phi^{4}$ theory and unravel asymptotic
freedom and triviality for negative and positives signs of $\lambda$
respectively. We derive exact classical $\beta$ function equation. Solving this
equation we find that an isolated source has an infinite energy and therefore
cannot exist as an asymptotic state. On the other hand a dipole, built out of
two opposite charges, has finite positive energy. At large separation the
interaction potential between these two charges grows indefinitely as a
distance in power one third.
