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 …

Matter at high density and low temperature is expected to be a color superconductor, which
is a degenerate Fermi gas of quarks with a condensate of Cooper pairs near the Fermi …

Investigations of deconfined quark matter within NJL-type models are reviewed, focusing on
the regime of low temperatures and “moderate” densities, which is not accessible by …

Inhomogeneous superconductivity arises when the species participating in the pairing
phenomenon have different Fermi surfaces with a large enough separation. In these …

Important progress in understanding the behavior of hadronic matter at high density has
been achieved recently, by adapting the techniques of condensed matter theory. At …

We argue that in quark matter at high densities, the color magnetic field remains unscreened
and leads to the phenomenon of color superconductivity. Using the renormalization group …

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We review, clarify, and extend the notion of color-flavor locking. We present evidence that for
three degenerate flavors the qualitative features of the color-flavor locked state, reliably …

In any context in which color superconductivity arises in nature, it is likely to involve pairing
between species of quarks with differing chemical potentials. For suitable values of the …

We study color superconductivity in QCD at an asymptotically large chemical potential. In
this limit, pairing is dominated by perturbative one-gluon exchange. We derive the …