Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resurgence and Holomorphy: From Weak to Strong Coupling   We analyze the resurgence properties of finite-dimensional exponential
integrals which are prototypes for partition functions in quantum field
theories. In these simple examples, we demonstrate that perturbation theory,
even at arbitrarily weak coupling, fails as the argument of the coupling
constant is varied. It is well-known that perturbation theory also fails at
stronger coupling. We show that these two failures are actually intimately
related. The formalism of resurgent transseries, which takes into account
global analytic continuation properties, fixes both problems, and provides an
arbitrarily accurate description of exact result for any value of coupling.
This means that strong coupling results can be deduced by using merely weak
coupling data. Finally, we give another perspective on resurgence theory by
showing that the monodromy properties of the weak coupling results are in
precise agreement with the monodromy properties of the strong-coupling
expansions, obtained using analysis of the holomorphy structure of Picard-Fuchs
equations.

37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio