Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards a Canonical Formalism of Field Theory on Discrete Spacetime   It is shown that the difficulties in formulating the quantum field theory on
discrete spacetime appear already in classical dynamics of one degree of
freedom on discrete time. The difference equation of motion which maintains a
conserved quantity like energy has a very restricted form that is not probably
derived by the least action principle. On the other hand, the classical
dynamics is possible to be canonically formulated and quantized, if the
equation is derived from an action. The difficulties come mainly from this
incompatibility of the conserved quantity and the action principle. We
formulate a quantum field theory canonically on discrete spacetime in the case
where the field equation is derived from an action, though there may be no
exactly conserved quantity. It may, however, be expected that a conserved
quantity exists for a low "energy" region.

16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn