Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbative BF-Yang-Mills theory on noncommutative R^4   A U(1) BF-Yang-Mills theory on noncommutative ${\mathbb{R}}^4$ is presented
and in this formulation the U(1) Yang-Mills theory on noncommutative
${\mathbb{R}}^4$ is seen as a deformation of the pure BF theory. Quantization
using BRST symmetry formalism is discussed and Feynman rules are given.
Computations at one-loop order have been performed and their renormalization
studied. It is shown that the U(1) BFYM on noncommutative ${\mathbb{R}}^4$ is
asymptotically free and its UV-behaviour in the computation of the
$\beta$-function is like the usual SU(N) commutative BFYM and Yang Mills
theories.

11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom