Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the associativity of one-loop corrections to the celestial OPE   There has been recent interest in the question of whether QCD collinear
singularities can be viewed as the OPE of a two-dimensional CFT. We analyze a
version of this question for the self-dual limit of pure gauge theory
(incorporating states of both helicities). We show that the known one-loop
collinear singulaties do not form an associative chiral algebra. The failure of
associativity can be traced to a novel gauge anomaly on twistor space. We find
that associativity can be restored for certain gauge groups if we introduce an
unusual axion, which cancels the twistor space anomaly by a Green-Schwarz
mechanism. Alternatively, associativity can be restored for some gauge groups
with carefully chosen matter.

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The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex