Nontrivial behavior of the Fermi arc in the staggered-flux ordered phase

The doping and temperature dependences of the Fermi arc in the staggered-flux, or the d-density wave, ordered phase of the t-J model are analyzed by the U(1) slave boson theory. Nontrivial behavior is revealed by the self-consistent calculation. At low doped and finite-temperature region, both the length of the Fermi arc and the width of the Fermi pocket are proportional to $\delta$ and the area of the Fermi pocket is proportional to $\delta^2$. This behavior is completely different from that at the zero temperature, where the area of the Fermi pocket becomes $\pi^2 \delta$. This behavior should be observed by detailed experiments of angle-resolved photoemission spectroscopy in the pseudogap phase of high-T_c cuprates if the pseudogap phase is the staggered-flux ordered phase.