Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauge Theory by canonical Transformations   Electromagnetism, the strong and the weak interaction are commonly formulated
as gauge theories in a Lagrangian description. In this paper we present an
alternative formal derivation of U(1)-gauge theory in a manifestly covariant
Hamilton formalism. We make use of canonical transformations as our guiding
tool to formalize the gauging procedure. The introduction of the gauge field,
its transformation behaviour and a dynamical gauge field Lagrangian/Hamiltonian
are unavoidable consequences of this formalism, whereas the form of the free
gauge Lagrangian/Hamiltonian depends on the selection of the gauge dependence
of the canonically conjugate gauge fields.

28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th