Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric post-Newtonian description of spin-half particles in curved
  spacetime   Einstein Equivalence Principle (EEP) requires all matter components to
universally couple to gravity via a single common geometry: that of spacetime.
This relates quantum theory with geometry as soon as interactions with gravity
are considered. In this work, I study the geometric theory of coupling a
spin-1/2 particle to gravity in a twofold expansion scheme: First with respect
to the distance based on Fermi normal coordinates around a preferred worldline
(e.g., that of a clock in the laboratory), second with respect to 1/c
(post-Newtonian expansion). I consider the one-particle sector of a massive
spinor field in QFT, here described effectively by a classical field. The
formal expansion in powers of 1/c yields a systematic and complete generation
of GR corrections for quantum systems. I find new terms that were overlooked in
the literature at order 1/c and extended the level of approximation to the next
order. These findings are significant for a consistent inclusion of gravity
corrections in the description of quantum experiments of corresponding
sensitivities, and also for testing aspects of GR, like the EEP, in the quantum
realm.

19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph