Erratum to: “Finite-energy spectral-weight distributions of a 1D correlated metal” [Nucl. Phys. B 725 (2005) 421]

Scattering mechanisms and spectral properties of the one-dimensional Hubbard model

“…There is a oneto-one correspondence between the local rotated-electron occupancy configurations that describe the PS energy eigenstates and the local αν pseudofermion occupancy configurations and −1/2 Yang holon and −1/2 HL spinon occupancies that describe the same states [4]. The corresponding effective αν lattices have the same length L as the original lattice.…”

“…Such a canonical-momentum pseudofermion is related in [3] to the local αν pseudofermion by a suitable Fourier transformation. The latter object occupies the sites of the effective αν lattice [3,4]. Except for the discrete momentum values, the above pseudoparticle and pseudofermion have the same properties.…”

“…Except for the discrete momentum values, the above pseudoparticle and pseudofermion have the same properties. Thus, all the energy eigenstates that span the PS can be described by occupancy configurations of αν pseudofermions, −1/2 Yang holons, and −1/2 HL spinons [3,4]. The functional,…”

“…For ν > 0 branches that excitation can involve a change in the number of discrete bare-momentum values. Although the αν = c0, s1 branches have no finite pseudofermion occupancy in the initial ground state, one can define the values N * αν = N h αν for the corresponding empty bands [10,3,4]. In this first step the pseudofermions acquire the excitation momentum and energy needed for the secondstep scattering events.…”

“…Interestingly, Q αν (q j )/L is the net αν pseudofermion or hole discrete canonicalmomentum shift that arises due to the above transition [3,4] and thus in this equation,…”