We review the present status of the Standard Model calculation of the anomalous magnetic
moment of the muon. This is performed in a perturbative expansion in the fine-structure …

Weyl and Dirac semimetals are three-dimensional phases of matter with gapless electronic
excitations that are protected by topology and symmetry. As three-dimensional analogs of …

Upcoming and planned experiments combining increasingly intense lasers and energetic
particle beams will access new regimes of nonlinear, relativistic, quantum effects. This …

Topological semimetals (TSMs) are characterized by bulk band crossings in their electronic
structures, which are expected to give rise to gapless electronic excitations and topological …

Weyl semimetals are a class of materials that can be regarded as three-dimensional
analogs of graphene upon breaking time-reversal or inversion symmetry. Electrons in a …

Topological insulators and topological semimetals are both new classes of quantum
materials, which are characterized by surface states induced by the topology of the bulk …

We identify infinitely many noninvertible generalized global symmetries in QED and QCD for
the real world in the massless limit. In QED, while there is no conserved Noether current for …

With the establishment and maturation of the experimental programs searching for new
physics with sizeable couplings at the LHC, there is an increasing interest in the broader …

We elucidate the fate of classical symmetries which suffer from Abelian Adler-Bell-Jackiw
anomalies. Instead of being completely destroyed, these symmetries survive as …

Dark matter represents currently an outstanding problem in both cosmology and particle
physics. In this review we discuss the possible explanations for dark matter and the …