We present a broad conceptual introduction to some new ideas in nonperturbative quantum
field theory (QFT) that have led to progress toward an understanding of quark confinement in …

A bstract This work is a step towards a non-perturbative continuum definition of quantum
field theory (QFT), beginning with asymptotically free two dimensional non-linear sigma …

A bstract Resurgence theory implies that the non-perturbative (NP) and perturbative (P) data
in a QFT are quantitatively related, and that detailed information about non-perturbative …

We introduce a nonperturbative continuum framework to study the dynamics of quantum
field theory (QFT), applied here to the CP (N-1) model. We show that the ambiguities in …

We explain the physical role of nonperturbative saddle points of path integrals in theories
without instantons, using the example of the asymptotically free two-dimensional principal …

A bstract We consider a class of quantum field theories and quantum mechanics, which we
couple to ℤ N topological QFTs, in order to classify non-perturbative effects in the original …

A bstract We study four-dimensional SU (N) Yang-Mills theory on\(\mathbb {R}\times
{\mathbb {T}}^ 3=\mathbb {R}\times {S} _A^ 1\times {S} _B^ 1\times {S} _C^ 1\), with a twisted …

We clarify relations among topological solitons in various dimensions: a domain wall, non-
Abelian vortex, magnetic monopole, and Yang-Mills instanton, together with a (non-Abelian) …

A bstract We study classical configurations in the\(\mathbb {C}\) PN− 1 model on\(\mathbb
{R}\) 1× S 1 with twisted boundary conditions. We focus on specific configurations composed …

We numerically study the spectral properties, the entanglement and the zero-temperature
phase structure at nonvanishing chemical potential of the O (3) nonlinear sigma model …