Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic Coupling Structure of Large $N_f$ (Super) QED and QCD   We study the analytic properties of the 't Hooft coupling expansion of the
beta-function at the leading nontrivial large-$N_f$ order for QED, QCD, Super
QED and Super QCD. For each theory, the 't Hooft coupling expansion is
convergent. We discover that an analysis of the expansion coefficients to
roughly 30 orders is required to establish the radius of convergence
accurately, and to characterize the (logarithmic) nature of the first
singularity. We study summations of the beta-function expansion at order
$1/N_f$, and identify the physical origin of the singularities in terms of
iterated bubble diagrams. We find a common analytic structure across these
theories, with important technical differences between supersymmetric and
non-supersymmetric theories. We also discuss the expected structure at higher
orders in the $1/N_f$ expansion, which will be in the future accessible with
the methods presented in this work, meaning without the need for resumming the
perturbative series. Understanding the structure of the large-$N_f$ expansion
is an essential step towards determining the ultraviolet fate of asymptotically
non-free gauge theories.

26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg