The Ontology of Compositeness Within Quantum Field Theory

Fuente: arXiv
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1. Verfasser: Peterken, Toby
Format: Preprint
Veröffentlicht: 2023
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author Peterken, Toby
author_facet Peterken, Toby
contents In this work, we attempt to define a notion of compositeness compatible with Quantum Field Theory. Considering the analytic properties of the S-matrix, we conclude that there is no satisfactory definition of compositeness compatible with Quantum Field Theory. Without this notion, one must claim that all bound states are equally fundamental, that is, one cannot rigorously claim that everyday objects are made of atoms or that atoms are made of protons and neutrons. I then show how an approximate notion of compositeness may be recovered in the regime where the mass of a bound state is close to a multi-particle threshold. Finally, we see that rejecting compositeness solves several of the "problems of everyday objects" encountered in an undergraduate metaphysics course.
format Preprint
id arxiv_https___arxiv_org_abs_2307_16531
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The Ontology of Compositeness Within Quantum Field Theory
Peterken, Toby
History and Philosophy of Physics
High Energy Physics - Theory
In this work, we attempt to define a notion of compositeness compatible with Quantum Field Theory. Considering the analytic properties of the S-matrix, we conclude that there is no satisfactory definition of compositeness compatible with Quantum Field Theory. Without this notion, one must claim that all bound states are equally fundamental, that is, one cannot rigorously claim that everyday objects are made of atoms or that atoms are made of protons and neutrons. I then show how an approximate notion of compositeness may be recovered in the regime where the mass of a bound state is close to a multi-particle threshold. Finally, we see that rejecting compositeness solves several of the "problems of everyday objects" encountered in an undergraduate metaphysics course.
title The Ontology of Compositeness Within Quantum Field Theory
topic History and Philosophy of Physics
High Energy Physics - Theory
url https://arxiv.org/abs/2307.16531