Is the dispersion anomaly of the electron spectrum induced by the charge-density-wave in high-T_c superconductors?

We propose that the presence of a rotationally symmetric charge density wave (CDW) with the modulation of 4-lattice constant in high-$T_c$ superconductors is essentially responsible for an anomalous quasiparticle dispersion revealed recently by angle-resolved photoemission spectroscopy (ARPES) experiments. We elaborate clearly that the nodal quasiparticle is well-defined at low energies, while the dispersion breaks up at the energy $E_1$ and reappears at the energy $E_2$. Our results are in good agreement with both the ARPES and scanning tunneling microscopy experiments.