A bstract Perturbation theory of a large class of scalar field theories in d< 4 can be shown to
be Borel resummable using arguments based on Lefschetz thimbles. As an example we …

The use of mini-batches of data in training artificial neural networks is nowadays very
common. Despite its broad usage, theories explaining quantitatively how large or small the …

We discuss numerical aspects of instantons in two-and three-dimensional $\phi^ 4$ theories
with an internal $ O (N) $ symmetry group, the so-called $ N $-vector model. Combining …

This chapter delves into the realm of computational complexity, exploring the world of
challenging combinatorial problems and their ties with statistical physics. Our exploration …

Recently, the large-order behavior of correlation functions of the O (N)-anharmonic oscillator
has been analyzed by us [LT Giorgini et al., Phys. Rev. D 101, 125001 (2020) PRVDAQ …

The question of the asymptotic form of the perturbation expansion in scalar field theories is
reconsidered. Renewed interest in the computation of terms in the-expansion, used to …

For a long time, the predictive limits of perturbative quantum field theory have been limited
by our inability to carry out loop calculations to an arbitrarily high order, which become …

We present a systematic treatment, up to order\(\alpha\), for the fundamental renormalization
of quantum electrodynamics in real space. Although the standard renormalization is an old …

The Power of Perturbation Series Page 1 Department of Theoretical Particle Physics The Power
of Perturbation Series Author Gabriele Spada Supervisors Prof. Marco Serone Prof. Giovanni …