Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bosonization and the eikonal expansion: similarities and differences   We compare two non-perturbative techniques for calculating the
single-particle Green's function of interacting Fermi systems with dominant
forward scattering: our recently developed functional integral approach to
bosonization in arbitrary dimensions, and the eikonal expansion. In both
methods the Green's function is first calculated for a fixed configuration of a
background field, and then averaged with respect to a suitably defined
effective action. We show that, after linearization of the energy dispersion at
the Fermi surface, both methods yield for Fermi liquids exactly the same
non-perturbative expression for the quasi-particle residue. However, in the
case of non-Fermi liquid behavior the low-energy behavior of the Green's
function predicted by the eikonal method can be erroneous. In particular, for
the Tomonaga-Luttinger model the eikonal method neither reproduces the correct
scaling behavior of the spectral function, nor predicts the correct location of
its singularities.

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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: math
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn