The authors review the theory and phenomenology of instantons in quantum
chromodynamics (QCD). After a general overview, they provide a pedagogical introduction …

▪ Abstract Random matrix theory is a powerful way to describe universal correlations of
eigenvalues of complex systems. It also may serve as a schematic model for disorder in …

We present results on the chiral and deconfinement properties of the QCD transition at finite
temperature. Calculations are performed with 2+ 1 flavors of quarks using the p4, asqtad …

The possibility that gauge theories with chiral symmetry breaking below the conformal
window exhibit an infrared fixed point is explored. With this assumption three aspects of pion …

We study the dependence of quark condensate Σ on an external magnetic field. For weak
fields, it rises linearly: Σ (H)= Σ (0)[1+ eH ln2 (16π 2F π2)+…]. Mπ and Fπ are also shifted so …

We investigate the chiral properties of QCD in the presence of a magnetic background field
and in the low temperature regime, by lattice numerical simulations of N f= 2 QCD. We adopt …

The low-energy ππ amplitude is computed explicitly to two-loop accuracy in the chiral
expansion. It depends only on six independent (combinations of) low-energy constants …

It is shown, with the example of the experimentally known Adler function, that there is no
matching in the intermediate region between the two asymptotic regimes described by …

A first study of critical behavior in the vicinity of the chiral phase transition of (2+ 1)-flavor
QCD is presented. We analyze the quark mass and volume dependence of the chiral …

Abstract The Banks-Casher relation links the spontaneous breaking of chiral symmetry in
QCD to the presence of a non-zero density of quark modes at the low end of the spectrum of …