Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards Divergence-free Theory of Quantum Fields   We present a new framework in which the interactions among quantum fields are
constrained by Lorentz-invariant thermalization. Thermalization, which occurs
as a natural and inevitable consequence of the interactions among the modes of
quantum fields, renders the scattering amplitudes naturally divergence-free at
all orders. We present the following calculations as a preliminary test of the
new framework. The 1-loop correction to electron's anomalous magnetic moment,
calculated using the new framework, is shown to differ from the experimentally
measured value by less than 0.06%. The calculation of the Lamb shift yields a
result that differs from the experimentally measured value by less than 0.33%.
At momentum transfer scales that are one to four orders of magnitude above the
electron mass scale, the running of the fine structure constant, calculated in
the new framework, is shown to deviate from the previously known results by
less than 0.8% (deviating by less than 0.5% at the upper end of the range). At
the tree level, the angular distribution of the differential cross-section for
Compton scattering predicted by the new framework is shown to be in good
agreement with the experimental results of Friedrich and Goldhaber and the
well-known Klein-Nishina formula. Finally, the free Maxwell field's
contribution to vacuum energy density predicted by the new framework is shown
to be approximately three orders of magnitude smaller than the WMAP's latest
upper bound for dark energy density in contrast to the divergent contribution
predicted by previous results.

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat