Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-adiabatic transitions in a massless scalar field   We consider the dynamics of a massless scalar field with time-dependent
sources in the adiabatic limit. This is an example of an adiabatic problem
without spectral gap. The main goal of our paper is to illustrate the
difference between the error of the adiabatic approximation and the concept of
non-adiabatic transitions for gapless systems. In our example the non-adiabatic
transitions correspond to emission of free bosons, while the error of the
adiabatic approximation is dominated by a velocity-dependent deformation of the
ground state of the field. In order to capture these concepts precisely, we
show how to construct super-adiabatic approximations for a gapless system.

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The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci