Year: 2025
Type: article
Abstract: It has been known since the 1950s that an unstable particle is associated with a complex pole in the propagator. This had to be rediscovered twice: in the early 1970s in the context of hadronic resonances, and in the early 1990s in the context of the Z boson. The physical mass of the particle is the real part of the pole in the complex energy plane. In hadronic physics, this replaced the “Breit–Wigner mass,” which was found to depend on the parameterization of the “energy-dependent width.” In Z physics, it replaced the “on-shell” mass, which was found to be gauge dependent. Although the mass defined from the complex pole position has been widely discussed in the literature, it has not yet made its way into quantum field theory textbooks.
Author: Scott Willenbrock
Institution: University of Illinois Urbana-Champaign
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,890
OpenAlex ID: W4411124874