Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spinfoam Fermions: PCT Symmetry, Dirac Determinant, and Correlation
  Functions   We discuss fermion coupling in the framework of spinfoam quantum gravity. We
analyze the gravity-fermion spinfoam model and its fermion correlation
functions. We show that there is a spinfoam analog of PCT symmetry for the
fermion fields on spinfoam model, where a PCT theorem is proved for spinfoam
fermion correlation functions. We compute the determinant of the Dirac operator
for the fermions, where two presentations of the Dirac determinant are given in
terms of diagram expansions. We compute the fermion correlation functions and
show that they can be given by Feynman diagrams on the spinfoams, where the
Feynman propagators can be represented by a discretized path integral of a
world-line action along the edges of the underlying 2-complex.

4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys