The claimed result is a one-particle Green's function G_k(ω) = δ/(ω + μ_eff - ε^eff_k), in which quasiparticle weight and bandwidth both scale with hole doping δ.
While th ey can be seen as some ”effective external fields” that appear in the equations of motion o f the correlation functions F (n) ijq (ω ) and F (s) ijq (ω ) in the Eqs.(26,27)
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The analytical description of a doped Mott insulator
The claimed result is a one-particle Green's function G_k(ω) = δ/(ω + μ_eff - ε^eff_k), in which quasiparticle weight and bandwidth both scale with hole doping δ.