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A theory of highly correlated layered superconducting materials isapplied forthe cuprates. Differently from an independent-electron approximation, theirlow-energy excitations are approached in terms of auxiliary particlesrepresenting combinations of atomic-like electron configurations, where theintroduction of a Lagrange Bose field enables treating them as bosons orfermions. The energy spectrum of this field accounts for the tendency ofhole-doped cuprates to form stripe-like inhomogeneities. Consequently, itinduces a different analytical behavior for auxiliary particles correspondingto "antinodal" and "nodal" electrons, enabling the existence of differentpairing temperatures at T^* and T_c. This theory correctly describes theobserved phase diagram of the cuprates, including the non-Fermi-liquid to FLcrossover in the normal state, the existence of Fermi arcs below T^* and of a"marginal-FL" critical behavior above it. The qualitative anomalous behavior ofnumerous physical quantities is accounted for, including kink- andwaterfall-like spectral features, the drop in the scattering rates below T^*and more radically below T_c, and an effective increase in the density ofcarriers with T and \omega, reflected in transport, optical and otherproperties. Also is explained the correspondence between T_c, theresonance-mode energy, and the "nodal gap".

A Theory for the High-T_c Cuprates: Anomalous Normal-State and Spectroscopic Properties, Phase Diagram, and Pairing