Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Is the local Lorentz invariance of general relativity implemented by
  gauge bosons that have their own Yang-Mills-like action?   General relativity with fermions has two independent symmetries: general
coordinate invariance and local Lorentz invariance. General coordinate
invariance is implemented by the Levi-Civita connection and by Cartan's tetrads
both of which have as their action the Einstein-Hilbert action. It is suggested
here that local Lorentz invariance is implemented not by a combination of the
Levi-Civita connection and Cartan's tetrads known as the spin connection, but
by independent Lorentz bosons that gauge the Lorentz group, that couple to
fermions like Yang-Mills fields, and that have their own Yang-Mills-like
action. Because the Lorentz bosons couple to fermion number and not to mass,
they generate a static potential that violates the weak equivalence principle.
If a Higgs mechanism makes them massive, then the static potential also
violates the inverse-square law. Experiments put upper bounds on the strength
of such a potential for masses less than ~20 eV. These upper limits imply that
Lorentz bosons, if they exist, are nearly stable and contribute to dark matter.

8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an