The aim of this review is to demonstrate that there exists a coherent picture of strong
interactions, based on instantons. Starting from the first principles of Quantum …

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 …

We consider general aspects of N= 2 gauge theories in three dimensions, including their
multiplet structure, anomalies and non-renormalization theorems. For U (1) gauge theories …

A bstract Many examples of low-energy dualities have been found in supersymmetric gauge
theories with four supercharges, both in four and in three space-time dimensions. In these …

Magnetic excitations play a crucial role in understanding the color confinement of 4D Yang-
Mills theory, and we have the monopole and the center vortex as plausible candidates to …

Motivated by recent neutron scattering experiments, we study the ordering of spins in the
iron-based superconductors LaFeAs (O 1− x F x), assuming them in proximity to a Mott …

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 Type II string theory and M-theory admit flux configurations that break
supersymmetry below the Kaluza-Klein scale. These backgrounds play a central role in most …

We present the detailed derivation of the charge-1 periodic instantons—or calorons—with
non-trivial holonomy for SU (2). We use a suitable combination of the Nahm transformation …

We investigate the self-dual Yang-Mills gauge configurations on R 3× S 1 when the gauge
symmetry SU (2) is broken to U (1) by the Wilson loop. We construct the explicit field …