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The Low's theorem is applied to the soft gluon emission from heavy quarkscattering in quark-gluon plasma (QGP). The QGP is described by the dynamicalquasi-particle model (DQPM) which reproduces the EoS from lQCD at finitetemperature and chemical potential. We show that if the emitted gluon is softand of long wavelength, the scattering amplitude can be factorized into thescattering part and the emission part and the Slavnov-Taylor identities aresatisfied in the leading order. Imposing a proper upper limit on the emittedgluon energy, we obtain the scattering cross sections of charm quark as well asthe transport coefficients (momentum drag and diffusion) in the QGP with andwithout gluon emission.

Radiative energy loss of heavy quark through soft gluon emission in QGP