Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New methods in the theory of gauge fields   One of the fundamental problems of the theoretical physics is the search of
the axioms, which ought to be the basis for the one-valued construction of
Lagrangians of the relativistic fields. The creation of the gauge fields theory
was the great success in the solution of this problem. The gauge formalism
allowed to derive the total Lagrangians of the interacting fields from the
postulated Lagrangians of the noninteracting (free) fields. We offer to do
quite the reverse in consequence of what it is necessary to seek from the out
set the construction principles of the total Lagrangians. By the theory
construction we shall differ the wave-functions being the solutions of the
differential equations (``theoretical'' functions) from the wave-functions
which is constructed on the base of the experimental data possibly received by
a scattering of particles (``empiric'' functions). The ``empiric'' functions
are necessary only for the definition (it is possibly only approximately) of
the transition operators which will affect at the ``theoretical'' functions.
  This operators will be approximated the differential operators so, that the
generalized variance of the differentiable
  ``theoretical'' fields will be the minimal one.

32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
3
The categories of this paper are: physics