Nonlinear Dynamics, Field Theory and Collider Phenomenology

Both theory and experiment strongly suggest that new phenomena await discovery above the energy range of the standard model for particle physics (SM). We argue that a correct description of physics in the Terascale sector needs to account for the unquenched randomness induced by short-distance fluctuations. The existence of unparticles, alleged to emerge at the next-generation colliders, is motivated by a dynamic setting that is far-of-equilibrium and able to sustain a rich spectrum of complex phenomena. Introduction Quantum Field Theory (QFT) is a framework whose methods and ideas have found successful applications in many branches of research, from particle physics and condensed matter to cosmology, statistical physics and critical phenomena [1, 2]. As a fundamental synthesis of quantum mechanics and special relativity, QFT forms the foundation for SM, a body of knowledge that describes the behavior of all known particles and their interactions except gravity. Feynman diagrams are well-established tools for computing transition amplitudes in QFT [1, 2]. As particle physics enters the era of high-energy experiments at the Large Hadron Collider (LHC) and International Linear Collider (ILC), one is compelled to ask the following question: How reliable is the apparatus of perturbation theory in the Terascale sector of field theory? To answer this