Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A lattice path integral for supersymmetric quantum mechanics   We report on a study of the supersymmetric anharmonic oscillator computed
using a euclidean lattice path integral. Our numerical work utilizes a Fourier
accelerated hybrid Monte Carlo scheme to sample the path integral. Using this
we are able to measure massgaps and check Ward identities to a precision of
better than one percent. We work with a non-standard lattice action which we
show has an {\it exact} supersymmetry for arbitrary lattice spacing in the
limit of zero interaction coupling. For the interacting model we show that
supersymmetry is restored in the continuum limit without fine tuning. This is
contrasted with the situation in which a `standard' lattice action is employed.
In this case supersymmetry is not restored even in the limit of zero lattice
spacing. Finally, we show how a minor modification of our action leads to an
{\it exact}, local lattice supersymmetry even in the presence of interaction.

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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: math
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph