Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Charges and Coupling Strengths in Gauge Theories with Direct Product
  Symmetry Groups   For gauge theories with direct product internal symmetry groups, the
relationship between internal quantum numbers (charges) and coupling strengths
is examined. In these types of theories, the Lagrangian density may contain
non-trivial factors multiplying the matter field terms, and these factors can
modify the interaction coupling strengths i.e., the gauge/matter field vertex
factors. Consequently, a matter field can carry a given internal charge yet
couple to the associated gauge field with an apparent fractional charge. An
example with $SU(3)\otimes U(2)$ symmetry is presented in which the matter
fields can have integer U(2) charges but fractional U(2) coupling strengths.

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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: math
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph