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- W2010516401 abstract "We examine the spin-charge separation effects which are manifest in the Tomonaga-Luttinger model (TLM) in the framework of the field theoretical renormalization group (RG) theory. Initially, it is shown how far one can go with the perturbative RG method. Following that, we take into full account the Ward identities [Phys. Rev. 78, 172 (1950)]. This allows us to calculate the spin and charge velocities exactly. Next, we construct the Callan-Symanzik equation (CSE) [Phys. Rev. D 5, 3202 (1972); Commun. Math. Phys. 23, 49 (1971)] for the renormalized fermionic one-particle Green's function. Finally, making use of those perturbative results for the TLM and taking the two characteristic velocities as basic ingredients, we solve this CSE in qualitative good agreement with the exact result." @default.
- W2010516401 created "2016-06-24" @default.
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- W2010516401 date "2007-06-18" @default.
- W2010516401 modified "2023-09-27" @default.
- W2010516401 title "Renormalization group treatment of spin-charge separation effects" @default.
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- W2010516401 doi "https://doi.org/10.1103/physrevb.75.233103" @default.
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