Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probability of Inflation in Loop Quantum Cosmology   Inflationary models of the early universe provide a natural mechanism for the
formation of large scale structure. This success brings to forefront the
question of naturalness: Does a sufficiently long slow roll inflation occur
generically or does it require a careful fine tuning of initial parameters? In
recent years there has been considerable controversy on this issue. In
particular, for a quadratic potential, Kofman, Linde and Mukhanov have argued
that the probability of inflation with at least 65 e-foldings is close to one,
while Gibbons and Turok have argued that this probability is suppressed by a
factor of ~ $\10^{-85}$. We first clarify that such dramatically different
predictions can arise because the required measure on the space of solutions is
intrinsically ambiguous in general relativity. We then show that this ambiguity
can be naturally resolved in loop quantum cosmology (LQC) because the big bang
is replaced by a big bounce and the bounce surface can be used to introduce the
structure necessary to specify a satisfactory measure.
  The second goal of the paper is to present a detailed analysis of the
inflationary dynamics of LQC using analytical and numerical methods. By
combining this information with the measure on the space of solutions, we
address a sharper question than those investigated in the literature: What is
the probability of a sufficiently long slow roll inflation WHICH IS COMPATIBLE
WITH THE SEVEN YEAR WMAP DATA? We show that the probability is very close to 1.
  The material is so organized that cosmologists who may be more interested in
the inflationary dynamics in LQC than in the subtleties associated with
measures can skip that material without loss of continuity.

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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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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: stat
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The categories of this paper are: nlin