Abstract
In a one dimensional Fermi gas, the scaling properties of the model in which !]2 11 is separated from q,l. arc investigated. The Lie equations for the BGD model (that consists of backward and forward scatterings) are considered in the four independent invariant couplings, q, 11*, !],H, g,~~* and q,H, and the scaling trajectory is given in (g, 11,!g,J.!) plane. Further a phase diagram at OK is investigated. Also a model with the Umklapp processes is considered.
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