Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Path integrals, complex probabilities and the discrete Weyl
  representation   A discrete formulation of the real-time path integral as the expectation
value of a functional of paths with respect to a complex probability on a
sample space of discrete valued paths is explored. The formulation in terms of
complex probabilities is motivated by a recent reinterpretation of the
real-time path integral as the expectation value of a potential functional with
respect to a complex probability distribution on cylinder sets of paths. The
discrete formulation in this work is based on a discrete version of Weyl
algebra that can be applied to any observable with a finite number of outcomes.
The origin of the complex probability in this work is the completeness
relation. In the discrete formulation the complex probability exactly factors
into products of conditional probabilities and exact unitarity is maintained at
each level of approximation. The approximation of infinite dimensional quantum
systems by discrete systems is discussed. Applications to scattering theory and
quantum field theory are illustrated.

2
The categories of this paper are: math
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom