Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hamiltonian formalism with several variables and quantum field theory,
  PartI   We discuss in this paper the canonical structure of classical field theory in
finite dimensions within the {\it{pataplectic}} hamiltonian formulation, where
we put forward the role of Legendre correspondance. We define the Poisson
$\mathfrak{p}$-brackets and $\mathfrak{\omega}$-brackets which are the
analogues of the Poisson bracket on forms. We formulate the equations of motion
of forms in terms of $\mathfrak{p}$-brackets and $\mathfrak{\omega}$-brackets
with the $n$-form ${\cal H}\omega $. As illustration of our formalism we
present two examples: the interacting scalar fields and conformal string
theory.

23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an