Koberinski, Adam
(2022)
What good is Haag's no-go theorem? What axiomatic methods can teach us about particle physics.
In: UNSPECIFIED.
Abstract
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 an infrared effect that may be resolved by more realistic idealizations, or even a revision to the vacuum concept in quantum field theory.
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What good is Haag's no-go theorem? What axiomatic methods can teach us about particle physics. (deposited 30 Dec 2022 08:20)
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