Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical Weyl-Spinor approach to U(1) and non-abelian local gauge
  theories   In a previous paper we introduced two linear spinor equations equivalent to
the Lorentz Force and stated that these equations were fairly general and could
be applied to any force field compatible with Special Relativity. In this
paper, via a lagrangian approach, we explore this possibility and obtain
classical spinor equations describing the behaviour of fermionic particles not
only under an electromagnetic field but also under Yang-Mills and Color fields.
We find a covariant derivative defined {\it along the classical trajectory} of
the particle, which can be extended to SU(2) and SU(3) local symmetries, and
obtain the Yang-Mills and Color fields in a new classical Weyl-spinor approach
to Gauge Theories. In the SU(3) case, the obtained equations which describe the
behaviour of quarks under gluon fields could be in principle applied to the
quark-gluon plasma phase existing during the first instants of the Universe.

21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph