The Quantum Noether Condition in terms of interacting fields

TL;DR

This paper explores how global and local symmetries constrain perturbative quantum field theories using the Epstein-Glaser formalism, emphasizing the role of interacting Noether currents in the S-matrix construction.

Contribution

It reformulates the symmetry condition in terms of interacting Noether currents within the Epstein-Glaser approach to quantum field theory.

Findings

Symmetry constraints are expressed via interacting Noether currents.

The formalism constructs the S-matrix directly from causality and Poincare invariance.

Provides a new perspective on symmetry conditions in perturbative QFT.

Abstract

We review our recent work, hep-th/9803030, on the constraints imposed by global or local symmetries on perturbative quantum field theories. The analysis is performed in the Bogoliubov-Shirkov-Epstein-Glaser formulation of perturbative quantum field theory. In this formalism the S-matrix is constructed directly in the asymptotic Fock space with only input causality and Poincare invariance. We reformulate the symmetry condition proposed in our earlier work in terms of interacting Noether currents.