Derives sc-RPA from PTA for Green's functions at finite temperature and applies it to 1D spinless fermions, matching known results for energies, correlations, and spectra.
(E1) We seek for the matrices Uq and the diagonal Λ q for a given pair of Hermitian matrices Lq ⪯ 0 and Iq
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Self-Consistent Random Phase Approximation from Projective Truncation Approximation Formalism
Derives sc-RPA from PTA for Green's functions at finite temperature and applies it to 1D spinless fermions, matching known results for energies, correlations, and spectra.