Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlocal scalar field in an external potential: WKB approximation   We consider a nonlocal theory of a scalar massive field in a flat spacetime
background in the presence of an external potential and construct WKB solutions
for this theory. We use a model in which the kinetic part of the scalar field
action is modified by changing $\Box$ to $\Box f(\Box)$ operator. We discuss
conditions when the corresponding form factor $f$ is chosen so that the theory
does not contain new unphysical degrees of freedom. We applied the obtained WKB
solutions for study energy levels of the field trapped by a one-dimensional
potential and the probability of the barrier penetration. This allows us to
illustrate how the effects of the nonlocality change the known results obtained
for the local field theory.

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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: physics