Zero-momentum modes and chiral limit in compact lattice QED
  The influence of zero-momentum gauge modes on physical observables is investigated for compact lattice QED with dynamical and quenched Wilson fermions. Within the Coulomb phase, zero-momentum modes are shown to hide the critical behaviour of gauge invariant fermion observables near the chiral limit. Methods for eliminating zero-momentum modes are discussed. 
I.L. Bogolubsky, V.K. Mitrjushkin, M. Mueller-Preussker and N.V.   Zverev