Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Large Number Limit of Multifield Inflation   We compute the tensor and scalar spectral index $n_t$, $n_s$, the
tensor-to-scalar ratio $r$, the consistency relation $n_t/r$ in the general
monomial multifield slow-roll inflation models with potentials $V
\sim\sum_i\lambda_i \left|\phi_i\right|^{p_i}$. The general models give a novel
relation that $n_t$, $n_s$ and $n_t/r$ are all proportional to the logarithm of
the number of fields $N_f$ when $N_f$ is getting extremely large with the order
of magnitude around $\mathcal{O}(10^{40})$. An upper bound $N_f\lesssim
N_*e^{ZN_*}$ is given by requiring the slow variation parameter small enough
where $N_*$ is the e-folding number and $Z$ is a function of distributions of
$\lambda_i$ and $p_i$. Besides, $n_t/r$ differs from the single-field result
$-1/8$ with substantial probability except for a few very special cases.
Finally, we derive theoretical bounds $r>2/N_*$ ($r\gtrsim0.03$) and for $n_t$
which can be tested by observation in the near future.

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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: stat
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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: hep-th
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci