Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-commutative and commutative vacua effects in a scalar torsion
  scenario   In this work, the effects of non-commutative and commutative vacua on the
phase space generated by a scalar field in a scalar torsion scenario are
investigated. For both classical and quantum regimes, the commutative and
non-commutative cases are compared. To take account the effects of
non-commutativity, two well known non-commutative parameters, $\theta$ and
$\beta,$ are introduced. It should be emphasized, the effects of $\beta$ which
is related to momentum sector has more key role in comparison to $\theta$ which
is related to space sector. Also the different boundary conditions and
mathematical interpretations of non-commutativity are explored.

9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph