Third Order Renormalization Group applied to the attractive one-dimensional Fermi Gas

Details Third Order Renormalization Group applied to the attractive one-dimensional Fermi Gas Third Order Renormalization Group applied to the attractive one-dimensional Fermi Gas

2000-05-17

arxiv.org/abs/cond-mat/0005277v3

Phys. Rev. B, 62, 10687-10695

Physics

Condensed Matter

16 pages, Revised version, added comments

Scientific paper

10.1103/PhysRevB.62.10687

We consider a Callan-Symanzik and a Wilson Renormalization Group approach to the infrared problem for interacting fermions in one dimension with backscattering. We compute the third order (two-loop) approximation of the beta function using both methods and compare it with the well known multiplicative Gell-Mann Low approach. We point out a previously unnoticed qualitative dependence of the third order fixed point on an arbitrary dimensionless parameter, which strongly suggest the spurious nature of the fixed point.

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