Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monte Carlo simulation of cosmologies with dust   The quantum theory of the Friedmann cosmological model with dust and
cosmological constant ($\Lambda$) is not exactly solvable analytically. We
apply Path Integral Monte Carlo (PIMC) techniques to study its quantum dynamics
using the physical Hamiltonian corresponding to the dust field as a clock. We
study (i) quantum fluctuations around classical paths and (ii) formulate the
analogues of the no-boundary and tunnelling proposals and simulate the ground
state wave functions. For $\Lambda < 0$ a unique ground state wave function
exists. For $\Lambda > 0$ the physical Hamiltonian is not bounded below, but
the path integral for the propagator is convergent over a range of Euclidean
time $T$. We investigate the properties of the convergent propagator. The path
integral can be made convergent for all values of $T$ by restricting the
integral over paths with action greater than equal to zero. We explore the
consequences of such a choice.

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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an