  Quantum kinks in gauge theories on $R^2\otimes S^1$ space-time are studied.
To obtain the, explicit profile of the kinks, we calculated effective actions
including derivative corrections for vacuum gauge fields on $S^1$ at zero, and
finite temperature up to one-loop level. It is found that there are soliton
solutions in scalar QED. We also find that the derivative correction tends to
make the vacuum unstable in $SU(2)$ Yang-Mills theory.
