Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cubic interaction vertex of higher-spin fields with external
  electromagnetic field   We fulfill the detailed analysis of coupling the charged bosonic higher spin
fields to external constant electromagnetic field in first order in external
field strength. Cubic interaction vertex of arbitrary massive and massless
bosonic higher spin fields with external field is found. Construction is based
on deformation of free Lagrangian and free gauge transformations by terms
linear in electromagnetic field strength. In massive case a formulation with
Stueckelberg fields is used. We begin with most general form of deformations
for Lagrangian and gauge transformations, admissible by Lorentz covariance and
gauge invariance and containing some number of arbitrary coefficients, and
require the gauge invariance of the deformed theory in first order in strength.
It yields the equations for the coefficients which are exactly solved. As a
result, the complete interacting Lagrangian of arbitrary bosonic higher spin
fields with constant electromagnetic field in first order in electromagnetic
strength is obtained. Causality of massive spin-2 and spin-3 fields propagation
in the corresponding electromagnetic background is proved.

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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: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con