Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Formal Developments for Lorentz-Violating Dirac Fermions and Neutrinos   The current paper is a technical work that is focused on Lorentz violation
for Dirac fermions as well as neutrinos, described within the nonminimal
Standard-Model Extension. We intend to derive two theoretical results. The
first is the full propagator of the single-fermion Dirac theory modified by
Lorentz violation. The second is the dispersion equation for a theory of $N$
neutrino flavors that enables the description of both Dirac and Majorana
neutrinos. As the matrix structure of the neutrino field operator is very
involved for generic $N$, we will use sophisticated methods of linear algebra
to achieve our objectives. Our main finding is that the neutrino dispersion
equation has the same structure in terms of Lorentz-violating operators as that
of a modified single-fermion Dirac theory. The results will be valuable for
phenomenological studies of Lorentz-violating Dirac fermions and neutrinos.

29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys