  Based on an analogy with topologically ordered new state of matter in
condensed matter systems, we propose a low energy effective field theory for a
parity conserving liquid-like quark-gluon plasma (QGP) around critical
temperature in quantum chromodynamics (QCD) system. It shows that below a QCD
gap which is expected several times of the critical temperature, the QGP
behaves like topological fluid. Many exotic phenomenon of QGP near the critical
temperature discovered at RHIC are more readily understood by the suggestion
that QGP is a topologically ordered state.
