We review the present status of gauge theories built on various quantum space–times
described by noncommutative space–times. The mathematical tools and notions underlying …

A bstract We construct a family of four-dimensional noncommutative deformations of U (1)
gauge theory following a general scheme, recently proposed in JHEP 08 (2020) 041 for a …

We review the approach to the Standard Model of particle interactions based on spectral
noncommutative geometry. The paper is (nearly) self-contained and presents both the …

A bstract We construct a noncommutative kappa-Minkowski deformation of U (1) gauge
theory, following a general approach, recently proposed in JHEP 08 (2020) 041. We obtain …

These are lecture notes for an introductory course on noncommutative field and gauge
theory. We begin by reviewing quantum mechanics as the prototypical noncommutative …

We review the noncommutative approach to the standard model. We start with the
introduction if the mathematical concepts necessary for the definition of noncommutative …

The Gribov problem in the presence of a background field is analyzed: in particular, we
study the Gribov copies equation in the Landau–De Witt gauge as well as the semi-classical …

The noncommutative QED (NCQED) has a non-Abelian nature due to the presence of 3-and
4-photon vertices in the lagrangian. Thus, NCQED predicts a new physics contribution to …

We consider the 𝒫 𝒯-symmetric quantum field theory on the noncommutative spacetime with
angular twist and construct its pseudo-Hermitian interpretation. We explore the differences …

In this paper the compatibility is analyzed of the non-perturbative equations of state of
quarks and gluons arising from the lattice with some natural requirements for self-gravitating …