Abstract
We discuss a variety of renormalization-group methods for treating the one-dimensional interacting electron gas when the cutoff for the energy transfer is a phonon frequency , while the electron bandwidth is of order , with . Our results, consistent only in the region of weak coupling, give the scaling trajectories for the coupling constants and cutoffs. The relationship to the conventional one-cutoff renormalization-group approach is discussed.
- Received 9 February 1976
DOI:https://doi.org/10.1103/PhysRevB.14.1225
©1976 American Physical Society