A pedagogical and self-contained introduction to noncommutative quantum field theory is
presented, with emphasis on those properties that are intimately tied to string theory and …

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 …

The role of the gravitational sector in the Lorentz-and CPT-violating standard-model
extension (SME) is studied. A framework is developed for addressing this topic in the context …

An investigation is performed of the Lorentz-violating electrodynamics extracted from the
renormalizable sector of the general Lorentz-and CPT-violating standard-model extension …

The detection of variations of fundamental constants of the Standard Model would provide
us with compelling evidence of new physics, and could lift the veil on the nature of dark …

The pure-gravity sector of the minimal standard-model extension is studied in the limit of
Riemann spacetime. A method is developed to extract the modified Einstein field equations …

The fate of the Nambu-Goldstone modes arising from spontaneous Lorentz violation is
investigated. Using the vierbein formalism, it is shown that up to 10 Lorentz and …

A general formalism is presented for violations of Lorentz and CPT symmetry in the neutrino
sector. The effective Hamiltonian for neutrino propagation in the presence of Lorentz and …

We present a formalism to explicitly construct non-Abelian gauge theories on
noncommutative spaces (induced via a star product with a constant Poisson tensor) from a …

We consider the standard model on a non-commutative space and expand the action in the
non-commutativity parameter θ^μν. No new particles are introduced; the structure group is …