The nature of spectral gaps due to pair formation

Several phenomenological self-energies have been presented to describe the pseudogap in cuprates. Here, we offer a derivation of the self-energy in two dimensions due to pair formation and compare it to photoemission data. We then use our results to address several questions of interest, including the existence of magneto-oscillations in the presence of the pseudogap, and the two length scale nature of vortices in underdoped cuprates.