We study a finite-temperature spectrum renormalization and s-wave pairing instability in a system of fermions with an attractive ``current-current'' interaction mediated by an overdamped mode with a dispersion {ω}=iΓ^-1{q}^{2+{{η}}}$, 0{≤}{η}{≤}1. It generalizes the case of a transverse gauge interaction between spinons in Mott insulators, which drives an instability of a homogeneous resonant valence bond state towards a dimerization.
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D. V. Khveshchenko (1993) studied this question.
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