Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Free quantum field theory from quantum cellular automata: derivation of
  Weyl, Dirac and Maxwell quantum cellular automata   After leading to a new axiomatic derivation of quantum theory, the new
informational paradigm is entering the domain of quantum field theory,
suggesting a quantum automata framework that can be regarded as an extension of
quantum field theory to including an hypothetical Planck scale, and with the
usual quantum field theory recovered in the relativistic limit of small
wave-vectors. Being derived from simple principles (linearity, unitarity,
locality, homogeneity, isotropy, and minimality of dimension), the automata
theory is quantum ab-initio, and does not assume Lorentz covariance and
mechanical notions. Being discrete it can describe localized states and
measurements (unmanageable by quantum field theory), solving all the issues
plaguing field theory originated from the continuum. These features make the
theory an ideal framework for quantum gravity, with relativistic covariance and
space-time emergent solely from the interactions, and not assumed a priori. The
paper presents a synthetic derivation of the automata theory, showing how from
the principles lead to a description in terms of a quantum automaton over a
Cayley graph of a group. Restricting to Abelian groups we show how the automata
recover the Weyl, Dirac and Maxwell dynamics in the relativistic limit. We
conclude with some new routes about the more general scenario of non-Abelian
Cayley graphs.

5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom