Abstract
A one-dimensional metal with a half-filled band is studied by the model of Dzyaloshinskii and Larkin. The .next-order renormalization group theory is applied. The invariant charges become smooth functions over all temperature. The possible phases-the singlet and the triplet Cooper pairing states, and SDW and CDW ·states at T ~0 are discussed. The criterion for these phases depends on th~ bare coupling constants via their signs and relative magni tudes. The phase diagram differs from that of the first-order theory. The Green's function, the vertex function, and 2pF and uniform response functions are found in the asymptotic power form. The exponents are- univ~rsal except for the case of the repulsive couplings. The results are compared with the exact theorems abo~t the Hubbard and Tomonaga models.
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