An inverse problem for the Standard Model of particle physics

TL;DR

This paper addresses an inverse problem in the Standard Model, demonstrating how to recover all fields from limited measurements within a causal domain in Minkowski space, under certain natural conditions.

Contribution

It establishes conditions on representations that enable field recovery from partial measurements, applicable to the Standard Model.

Findings

Conditions on representations are satisfied by those in the Standard Model.

All fields can be recovered from measurements in a small causal domain.

The approach advances understanding of inverse problems in quantum field theories.

Abstract

We pose and solve an inverse problem for the classical field equations that arise in the Standard Model of particle physics. Our main result describes natural conditions on the representations, so that it is possible to recover all the fields from measurements in a small set within a causal domain in Minkowski space. These conditions are satisfied for the representations arising in the Standard Model.