Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Revisiting the gauge principle: enforcing constants of motion as
  constraints   In this paper we examine an alternative formulation of the gauge principle in
which the emphasis is shifted from the symmetry transformations to their
generators. We show that the gauge principle can be entirely reformulated in
terms of promoting constants of motion - which generate rigid symmetries - to
constraints - which generate gauge symmetries. In our exposition we first
explain the basic philosophy on mechanical systems, and then with the help of
De Donder--Weyl formalism we extend our scenario also to a field-theoretical
setting. To put some flesh on bare bones we demonstrate our method in numerous
examples, including the massive relativistic particle, the Nambu--Goto string
and relativistic field theory.

26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci