We study the ultraviolet behaviour of four-dimensional quantum field theories involving non-abelian gauge fields, fermions and scalars in the Veneziano limit. In a regime where asymptotic freedom is lost, we explain how the three types of fields cooperate to develop fully interacting ultraviolet fixed points, strictly controlled by perturbation theory. Extensions towards strong coupling and bey...

In this paper, we study the asymptotic theory for spectral analysis of stationary random fields on Z2, including linear and nonlinear fields. Asymptotic properties Fourier coefficients periodograms, limiting distributions coefficients, uniform consistency kernel density estimators are obtained under various mild conditions moments dependence structures. The validity aforementioned results estim...