Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-loop approximation in the Coulomb blockade problem   We study Coulomb blockade (CB) oscillations in the thermodynamics of a
metallic grain which is connected to a lead by a tunneling contact with a large
conductance $g_0$ in a wide temperature range, $E_Cg_0^4 e^{-g_0/2}<T<E_C$,
where $E_C$ is the charging energy. Using the instanton analysis and the
renormalization group we obtain the temperature dependence of the amplitude of
CB oscillations which differs from the previously obtained results. Assuming
that at $T < E_Cg_0^4 e^{-g_0/2}$ the oscillation amplitude weakly depends on
temperature we estimate the magnitude of CB oscillations in the ground state
energy as $E_Cg_0^4 e^{-g_0/2}$.

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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
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The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph