2005/12/31 by A. Ferraz, A Ferraz
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.str-el
paper · pdf · doi:10.1088/0305-4470/39/25/s11
published as J.Phys.A39:7963-7976,2006 · 12 pages, 12 figures. Typos corrected and new references added
arxiv created 2006/06/07 · openalex publication_date 2006/06/07 · arxiv updated 2011/04/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We apply field theoretical renormalization group (RG) methods to describe the Tomonaga–Luttinger model as an important test ground to deal with spin–charge separation effects in higher spatial dimensions. We calculate the RG equations for the renormalized forward couplings g 2 R and g 4 R up to two-loop order and demonstrate that they do not flow in the vicinities of the Fermi points (FPs). We solve the Callan–Symanzik equation for G ( a ) R in the vicinities of the FPs. We calculate the related spectral function and the momentum distribution function at p = k F , p 0 = ω. We compute the renormalized one-particle irreducible function Γ (2) (+) R ( p , p 0 = 0; Λ) and show that it carries important spin–charge separation effects in agreement with well-known results. Finally, we discuss the implementation of the RG scheme taking into account the important simplifications produced by the Ward identities.