PhilSci Archive

What good is Haag's no-go theorem? What axiomatic methods can teach us about particle physics

Koberinski, Adam (2023) What good is Haag's no-go theorem? What axiomatic methods can teach us about particle physics. In: UNSPECIFIED.

This is the latest version of this item.


Download (343kB) | Preview


Haag's theorem is a no-go theorem for the interaction picture in relativistic quantum field theory. However, the interaction picture is still widely used in conventional perturbative calculations. But how exactly is the no-go theorem thereby avoided, and what do these formal results tell us about the physical systems we study, if anything? I argue that the value of axiomatic quantum field theory for modelling particle physics systems lies in understanding the structural relationships between certain features of a quantum field description. For Haag's theorem, we learn that unitary inequivalence is related to the infinite spacetime volume idealization. We can evade Haag's theorem using more realistic idealizations, or we can ignore it for all practical purposes when we know the root cause. Various solution strategies from axiomatic quantum field theory make this conclusion clear, where conventional Lagrangian approaches are too conceptually coarse to pinpoint the infinite spacetime idealization. However, the two approaches are consistent, indicating the value of axiomatic methods for quantum field theory.

Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Conference or Workshop Item (UNSPECIFIED)
Koberinski, Adamadam.koberinski@pitt.edu0000-0001-7605-4214
Keywords: Haag's theorem Philosophy of quantum field theory Modelling frameworks
Subjects: Specific Sciences > Physics > Quantum Field Theory
Depositing User: Dr. Adam Koberinski
Date Deposited: 30 Nov 2023 01:19
Last Modified: 30 Nov 2023 01:19
Item ID: 22807
Subjects: Specific Sciences > Physics > Quantum Field Theory
Date: 2023

Available Versions of this Item

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item