Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constraints on the String T-Duality Propagator from the Hydrogen Atom   We investigate the implications of a string-theory modified propagator in the
high-precision regime of quantum mechanics. In particular, we examine the
situation in which string theory is compactified at the T-duality self-dual
radius. The corresponding propagator is closely related to the one derived from
the path integral duality.
  Our focus is on the hydrogen ground state energy and the
$1\text{S}_{1/2}-2\text{S}_{1/2}$ transition frequency as they are the most
precisely explored properties of the hydrogen atom. In our analysis, the
T-duality propagator affects the photon field leading to a modified Coulomb
potential. Thus, our study is complementary to investigations where the
electron evolution is modified as in studies of a minimal length in the context
of the generalized uncertainty principle.
  The first manifestation of the T-duality propagator arises at fourth order in
the fine-structure constant, including a logarithmic term. The constraints on
the underlying parameter, the zero-point length, reach down to $3.9 \times
10^{-19}\, \text{m}$ and are in full agreement with previous studies on black
holes.

18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex