Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Goldstone bosons in the massless Thirring model. Witten's criterion   We discuss the Ward identity and the low-energy theorem for the divergence of
the axial-vector current in the massless Thirring model with fermion fields
quantized in the chirally broken phase (Eur. Phys. J. C20, 723 (2001)). The
Ward identity and the low-energy theorem are analysed in connection with
Witten's criterion for Goldstone bosons (Nucl. Phys. B145, 110 (1978)). We show
that the free massless (pseudo)scalar field bosonizing the massless Thirring
model in the chirally broken phase satisfies Witten's criterion to interpret
quanta of this field as Goldstone bosons. As has been shown in hep-th/0210104
and hep-th/0212226, Goldstone's criterion, the non-invariance of the wave
function of the ground state, is also fulfilled.

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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int