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

Paolo Carta
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Abstract

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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Paolo Carta. 2000-12-04. Third Order Renormalization Group applied to the attractive one-dimensional Fermi Gas. https://doi.org/10.1103/physrevb.62.10687

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