Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated
  Random Non-Chaotic Primordial Fluctuations   The underlying physical concept of computing out-of-time-ordered correlation
(OTOC) is a significant new tool within the framework of quantum field theory,
which now-a-days is treated as a measure of random fluctuations. In this paper,
by following the canonical quantization technique, we demonstrate a
computational method to quantify the two different types of cosmological
auto-correlated OTO functions during the epoch when the non-equilibrium
features dominates in primordial cosmology. In this formulation, two distinct
dynamical time scales are involved to define the quantum mechanical operators
arising from the cosmological perturbation scenario. We have provided detailed
explanation regarding the necessity of this new formalism to quantify any
random events generated from quantum fluctuations in primordial cosmology. We
have performed an elaborative computation for the two types of two-point and
four-point auto-correlated OTO functions in terms of the cosmological
perturbation field variables and its canonically conjugate momenta to quantify
random auto-correlations in the non-equilibrium regime. For both of the cases,
we found significantly distinguishable non-chaotic, but random, behaviour in
the OTO auto-correlations, which was not pointed out before in this type of
study. Finally, we have also demonstrated the classical limiting behaviour of
the mentioned two types of auto-correlated OTOC functions from the thermally
weighted phase-space averaged Poisson brackets, which we found to exactly match
the large time limiting behaviour of the auto-correlations in the super-horizon
regime of the cosmological scalar mode fluctuation.

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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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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: cond-mat
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The categories of this paper are: math
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin