Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topologically non--trivial chiral transformations: The chiral invariant
  elimination of the axial vector meson   The role of chiral transformations in effective theories modeling Quantum
Chromo Dynamics is reviewed. In the context of the Nambu--Jona--Lasinio model
the hidden gauge and massive Yang--Mills approaches to vector mesons are
demonstrated to be linked by a special chiral transformation which removes the
chiral field from the scalar--pseudoscalar sector. The chirally rotated axial
vector meson field ($\tilde A_\mu$) transforms homogeneously under flavor
rotations and may thus be dropped without violating chiral symmetry. The
fermion determinant for static meson field configurations is computed by
summing the discretized eigenvalues of the Dirac Hamiltonian. It is discussed
how the local chiral transformation loses its unitary character in a finite
model space. This technical issue proves to be crucial for the construction of
the soliton within the Nambu--Jona--Lasinio model when the chirally rotated
axial vector field is neglected. In the background of this soliton the valence
quark is strongly bound, and its eigenenergy turns out to be negative. This
important physical property which is usually generated only by non--vanishing
axial vector is thus carried over by the simplification $\tilde A_\mu=0$.

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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat