Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electron acceleration due to photon absorption: A possible origin of the
  infinity problems in relativistic quantum fields   Based on the concept of extended particles recently introduced we perform a
Gedankenexperiment accelerating single electrons with photons of suitably low
frequency. Accounting for relativistic time dilation due to the acquired
velocity and in infinite repetition of single absorption processes it can be
shown that the kinetic energy in the infinite limit is equal to m_{e} c^{2}/2.
However, the inertial mass of the electron seems enhanced, and it can be
established that this enhancement is described by the relativistic mass effect.
It appears, therefore, that although there exists a singularity in interactions
- the frequency required to accelerate the particle near the limit of c becomes
infinite - the energy of the particle itself approaches a finite limit.
Comparing with calculations of the Lamb-shift by Bethe this result seems to
provide the ultimate justification for the renormalization procedures employed.

27
The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg