Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The renormalization of the effective Lagrangian with spontaneous
  symmetry breaking: the SU(2) case   We study the renormalization of the nonlinear effective SU(2) Lagrangian up
to $O(p^4)$ with spontaneous symmetry breaking. The Stueckelberg
transformation, the background field gauge, the Schwinger proper time and heat
kernel method, and the covariant short distance expansion technology, guarantee
the gauge covariance and incooperate the Ward indentities in our calculations.
The renormalization group equations of the effective couplings are derived and
analyzed. We find that the difference between the results gotten from the
direct method and the renormalization group equation method can be quite large
when the Higgs scalar is far below its decoupling limit.

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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
2
The categories of this paper are: math
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
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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: q-fin
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The categories of this paper are: chao-dyn