Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long distance expansion for the NJL model with SU(3) and U_A(1) breaking   This work is a follow up of recent investigations, where we study the
implications of a generalized heat kernel expansion, constructed to incorporate
non-perturbatively the effects of a non-commutative quark mass matrix in a
fully covariant way at each order of the expansion. As underlying Lagrangian we
use the Nambu -- Jona-Lasinio model of QCD, with $SU_f(3)$ and $U_A(1)$
breaking, the latter generated by the 't Hooft flavour determinant interaction.
The associated bosonized Lagrangian is derived in leading stationary phase
approximation (SPA) and up to second order in the generalized heat kernel
expansion. Its symmetry breaking pattern is shown to have a complex structure,
involving all powers of the mesonic fields allowed by symmetry. The considered
Lagrangian yields a reliable playground for the study of the implications of
symmetry and vacuum structure on the mesonic spectra, which we evaluate for the
scalar and pseudoscalar meson nonets and compare with other approaches and
experiment.

34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio