Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Dependence of the Spectra of Fluctuations in Inflationary
  Cosmology on Trans-Planckian Physics   We calculate the power spectrum of metric fluctuations in inflationary
cosmology starting with initial conditions which are imposed mode by mode when
the wavelength equals some critical length $\ell_{_{\rm C}}$ corresponding to a
new energy scale $M_{_{\rm C}}$ at which trans-Planckian physics becomes
important. In this case, the power spectrum can differ from what is calculated
in the usual framework (which amounts to choosing the adiabatic vacuum state).
The fractional difference in the results depends on the ratio $\sigma_0$
between the Hubble expansion rate $H_{\rm inf}$ during inflation and the new
energy scale $M_{_{\rm C}}$. We show how and why different choices of the
initial vacuum state (stemming from different assumptions about trans-Planckian
physics) lead to fractional differences which depend on different powers of
$\sigma_0$. As we emphasize, the power in general also depends on whether one
is calculating the power spectrum of density fluctuations or of gravitational
waves.

13
The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: econ
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: nlin