The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

We provide a pedagogical review article on fundamentals and applications of the quantum
dynamics in strong electromagnetic fields in QED and QCD. The fundamentals include the …

Recent advances in our understanding of the phase structure and the phase transitions of
hadronic matter in strong magnetic fields B and zero quark chemical potentials μ f are …

Although asymptotic freedom is an essential feature of QCD, it is absent in effective chiral
quark models like the Nambu–Jona-Lasinio and linear sigma models. In this work we …

We investigate the effects of strong magnetic fields on the QCD phase structure at vanishing
density by solving the gluon and quark gap equations, and by studying the dynamics of the …

We provide numerical evidence that the thermal QCD crossover turns into a first order
transition in the presence of large enough magnetic background fields. The critical end point …

We calculate the number density, energy density, transverse pressure, longitudinal
pressure, and magnetization of an ensemble of spin one-half particles in the presence of a …

We compute the one-loop thermomagnetic corrections to the self-coupling in a model where
charged scalars interact also with a constant magnetic field. The calculation is motivated by …

We investigate the behavior of the pseudocritical temperature of N f= 2+ 1 QCD as a function
of a static magnetic background field for different values of the pion mass, going up to m π≃ …

The behavior of the quark condensates at zero chemical potential and finite temperature
subject to an external magnetic field is studied within the three flavor Nambu–Jona-Lasinio …