Abstract
The stability of the quenched incommensurate phase in two dimensions against the creation of overhangs (OHs) and finite loops (FLs) in the fermion replica space is investigated for a model of domain walls with N colors. Introducing a chemical potential \ensuremath{\epsilon} for OHs and FLs, the probability for the formation of these objects is studied for \ensuremath{\epsilon}\ensuremath{\rightarrow}0. In the pure limit this probability vanishes with \ensuremath{\epsilon}, whereas the fluctuations are long-range correlated in the quenched system. This indicates an instability related to the symmetry in replica space. It is accompanied by the creation of a massless boson. The latter leads to a power law decay with exponent \ensuremath{\propto}1/N for the product of the correlation functions along the domain walls.
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