Particle Production in the Field Theories with Symmetry

TL;DR

This paper demonstrates that in field theories with high space-time symmetry, real particle production processes are forbidden, regardless of the specific Lagrangian structure, due to symmetry constraints.

Contribution

It provides a general proof that high space-time symmetry prevents real particle production in field theories, independent of the Lagrangian details.

Findings

No real particle production occurs under symmetry constraints

Result is independent of Lagrangian structure

High space-time symmetry restricts particle production processes

Abstract

The field theory with high space-time symmetry is considered with the aim to examine the mass-shell particles production processes. The general conclusion is following: no real particle production exists if the space-time symmetry constraints are taken into account. This result does not depend on the concrete structure of Lagrangian.