Consistency of Higgsplosion in Localizable QFT

TL;DR

This paper demonstrates that the high particle production rates predicted by Higgsplosion models are compatible with the fundamental principles of localizable quantum field theory, ensuring causality and locality.

Contribution

It establishes the consistency of Higgsplosion predictions with the strict localizability criteria of quantum fields, bridging semiclassical results with foundational QFT principles.

Findings

Higgsplosion rates are compatible with localizable QFT principles.

Localizable fields need not be tempered distributions.

The results support the causal structure of Higgsplosion models.

Abstract

We show that large n-particle production rates derived in the semiclassical Higgsplosion limit of scalar field theoretical models with spontaneous symmetry breaking, are consistent with general principles of localizable quantum field theory. The strict localizability criterium of Jaffe defines quantum fields as operator-valued distributions acting on test functions that are localized in finite regions of space-time. The requirement of finite support of test functions in space-time ensures the causality property of QFT. The corresponding localizable fields need not be tempered distributions, and they fit well into the framework of local quantum field theory.