Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A general framework to diagonalize vector--scalar and
  axial-vector--pseudoscalar transitions in the effective meson Lagrangian   A new mathematical framework for the diagonalization of the nondiagonal
vector--scalar and axial-vector--pseudoscalar mixing in the effective meson
Lagrangian is described. This procedure has unexpected connections with the
Hadamard product of $n\times n$ matrices describing the couplings, masses, and
fields involved. The approach is shown to be much more efficient as compared
with the standard methods employed previously. The difference is especially
noticeable if the chiral symmetry is broken explicitly. The paper ends with an
illustrative application to the chiral model with broken $SU(3)_L\times
SU(3)_R$ symmetry.

28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc