Abstract
In a theory of dilute fermionic holes in a 2-dimentional antiferromagnetic in the disordered state, the interparticle interactions can be cast in terms of a gauge field. We have calculated the gauge-field propagator D R ( q, ω) at zero temperature, taking into account fermionic and bosonic degrees of freedom. Numerical combinations of the interaction spectral function show it to be dominated by the fermion contribution, and to have an unconventional power-law dependence α 2 F( ω)∼ ω −2, with x close to 1 3 . Superconductivity in the model is expressed in the formalism of Eliashberg theory, with the unusual α 2 F( ω).
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