We review results for the phase diagram of QCD, the properties of quarks and gluons and
the resulting properties of strongly interacting matter at finite temperature and chemical …

We introduce fundamental gauge theories that can be employed to construct informed
composite bright and dark extensions of the Standard Model, within and beyond the …

A bstract We discuss walking behavior in gauge theories and weak first-order phase
transitions in statistical physics. Despite appearing in very different systems (QCD below the …

The idea of dynamical gauge bosons of hidden local symmetries in nonlinear sigma models
is reviewed. Starting with a fresh look at the Goldstone theorem and low energy theorems …

We review the current status of nonperturbative studies of gauge field theory using the
Dyson-Schwinger equation formalism and its application to hadronic physics. We begin with …

We develop an effective field theory of QCD and QCD-like theories beyond the Standard
Model, based on the hidden local symmetry (HLS) model for the pseudoscalar mesons (π) …

A bstract We consider line defects with large quantum numbers in conformal field theories.
First, we consider spin impurities, both for a free scalar triplet and in the Wilson-Fisher O (3) …

We consider zero-temperature transitions from conformal to nonconformal phases in
quantum theories. We argue that there are three generic mechanisms for the loss of …

The theory of the strong interaction, quantum chromodynamics (QCD), describes the
generation of hadronic masses and the state of hadronic matter during the early stages of …

Dynamical chiral-symmetry breaking in asymptotically free theories with a slowly running
coupling is analyzed. When the confinement scale Λ is much less than the cutoff M beyond …