Fractional dynamics is a field of study in physics and mechanics investigating the behavior
of objects and systems that are characterized by power-law nonlocality, power-law long-term …

In this paper we will study Lorentz-invariant, infinite derivative quantum field theories, where
infinite derivatives give rise to non-local interactions at the energy scale M s, beyond the …

We study the ultraviolet complete non-relativistic theory recently proposed by Hořava. After
introducing a Lifshitz scalar for a general background, we analyze the cosmology of the …

We propose a model for a power-counting renormalizable field theory living in a fractal
spacetime. The action is Lorentz covariant and equipped with a Stieltjes measure. The …

A new type of fractional Langevin equation of two different orders is introduced. The
solutions for this equation, known as the fractional Ornstein–Uhlenbeck processes, based …

A bstract We construct a theory of fields living on continuous geometries with fractional
Hausdorff and spectral dimensions, focussing on a flat background analogous to Minkowski …

We study a class of perturbative scalar quantum field theories where dynamics is
characterized by Lorentz-invariant or Lorentz-breaking non-local operators of fractional …

We explore quantum field theories with fractional d'Alembertian□ γ. Both a scalar field
theory with a derivative-dependent potential and gauge theory are super-renormalizable for …

We discuss an aspect of string theory which has been tackled from many different
perspectives, but incompletely: the role of nonlocality in the theory and its relation to the …

A bstract We study a non-local scalar quantum field theory in flat spacetime derived from the
dynamics of a scalar field on a causal set. We show that this non-local QFT contains a …