Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complete set of essential parameters of an effective theory   The present paper continues the series [V. V. Vereshagin, True self-energy
function and reducibility in effective scalar theories, Phys. Rev. D 89, 125022
(2014); A. Vereshagin and V. Vereshagin, Resultant parameters of effective
theory, Phys. Rev. D 69, 025002 (2004); K. Semenov-Tian-Shansky, A. Vereshagin,
and V. Vereshagin, S-matrix renormalization in effective theories, Phys. Rev. D
73, 025020 (2006)] devoted to the systematic study of effective scattering
theories. We consider matrix elements of the effective Lagrangian monomials (in
the interaction picture) of arbitrary high dimension D and show that the full
set of corresponding coupling constants contains parameters of both kinds:
essential and redundant. Since it would be pointless to formulate
renormalization prescriptions for redundant parameters, it is necessary to
select the full set of the essential ones. This is done in the present paper
for the case of the single scalar field.

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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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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: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg