Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Field Theory Renormalization Group: The Tomonaga-Luttinger Model
  Revisited   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 compute the anomalous
dimension associated with the one-particle Green's functions $G_{(a)R}$. We
calculate the RG equations for the renormalized forward couplings $g_{2R}$ and
$g_{4R}$ up to two-loop order and demonstrate that they don't flow in the
vicinities of the Fermi points (FPs). We solve the Callan-Symanzik equation for
$G_{(a)R}$ in the neighborhood of the FPs. We calculate the related spectral
function and the momentum distribution function at $p=k_{F},p_{0}=\omega$. We
compute the renormalized one-particle irreducible function
$\Gamma_{(+)R}^{(2)}(p,p_{0}=0;\Lambda)$ and show 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.

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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: eess