Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Superluminal Neutrinos from Deformed Lorentz Invariance   We study two superluminal neutrino scenarios where \delta v\equiv (v-c)/c is
a constant. To be consistent with the OPERA, Borexino, and ICARUS experiments
and with the SN1987a observations, we assume that \delta v_{\nu} on the Earth
is about three order larger than that on the interstellar scale. To explain the
theoretical challenges from the Bremsstrahlung effects and pion decays, we
consider the deformed Lorentz invariance, and show that the superluminal
neutrino dispersion relations can be realized properly while the modifications
to the dispersion relations of the other Standard Model particles can be
negligible. In addition, we propose the deformed energy and momentum
conservation laws for a generic physical process. In Scenario I the momentum
conservation law is preserved while the energy conservation law is deformed. In
Scenario II the energy conservation law is preserved while the momentum
conservation law is deformed. We present the energy and momentum conservation
laws in terms of neutrino momentum in Scenario I and in terms of neutrino
energy in Scenario II. In such formats, the energy and momentum conservation
laws are exactly the same as those in the traditional quantum field theory with
Lorentz symmetry. Thus, all the above theoretical challenges can be
automatically solved. We show explicitly that the Bremsstrahlung processes are
forbidden and there is no problem for pion decays.

15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph