Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Generalization of the Bargmann's Theory of Ray Representations   The paper contains a complete theory of factors for ray representations
acting in a Hilbert bundle, which is a generalization of the known Bargmann's
theory. With the help of it we have reformulated the standard quantum theory
such that the gauge freedom emerges naturally from the very nature of quantum
laws. The theory is of primary importance in the investigations of covariance
(in contradistinction to symmetry) of a quantum theory which possesses a
nontrivial gauge freedom. In that case the group in question is not any
symmetry group but it is a covariance group only - that case which has not been
deeply investigated. It is shown on the paper that the factor of its
representation depends on space and time when the system in question possesses
a gauge freedom. In the nonrelativistic theories the factor depends on the time
only. In the relativistic theory the Hilbert bundle is over the spacetime in
the nonrelativistic one it is over the time.
  We explain two applications of this generalization: in a theory of a quantum
particle in the nonrelativistic limit and in the quantum electrodynamics.

35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th