N-Particle Scattering in Relativistic Wedge-Local Quantum Field Theory

Scattering in Relativistic Quantum Field Theory: Fundamental Concepts and Tools

We provide a brief overview of the basic tools and concepts of quantum field theoretical scattering theory. This article is commissioned by the Encyclopedia of Mathematical Physics, edited by J.-P. Françoise, G. Naber and T.S. Tsun, to be published by the Elsevier publishing house. 1 Physical Motivation and Mathematical Setting The primary connection of relativistic quantum field theory to expe...

Relativistic Quantum Field Theory

Quasiparticle excitations in relativistic quantum field theory

We analyze the particle-like excitations arising in relativistic field theories in states different than the vacuum. The basic properties characterizing the quasiparticle propagation are studied using two different complementary methods. First we introduce a frequency-based approach, wherein the quasiparticle properties are deduced from the spectral analysis of the twopoint propagators. Second,...

Unstable Systems in Relativistic Quantum Field Theory

We show how the state of an unstable particle can be defined in terms of stable asymptotic states. This general definition is used to discuss and to solve some old problems connected with the short-time and large-time behaviour of the non-decay amplitude. CERN-TH/97-246 September 1997 ⋆ Address from Sept 1st, 1997 to August 31st, 1998.

8.324 Relativistic Quantum Field Theory II

The renormalization program has been shown to be a success operationally: 1. For a renormalizable theory, all ultraviolet divergences can be absorbed into redefinitions of bare quan­ tities, which are not observable. What is meant by the set of physical observables is unambiguous: it is well-defined in terms of a small number of physical couplings, masses and so forth. 2. The requirement of ren...