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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao https://doi.org/10.1...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
https://doi.org/10.1103/physre...
Article . 1976 . Peer-reviewed
License: APS Licenses for Journal Article Re-use
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Ghost cuts of the nucleon propagator

Authors: S. Fishman; A. Gersten;

Ghost cuts of the nucleon propagator

Abstract

We demonstrate in our work, on the special example of dressing the nucleon propagator, that if ghost poles exist, they lead to ghost cuts, and the ghost cuts generate new ghost cuts. The geometry of the location of these cuts in the complex $s$ plane is fully discussed and analyzed. We found a simple exact parametric representation of the $n\mathrm{th}$ ghost cut: $s=\frac{{s}_{g}}{(1\ensuremath{-}p)}+\frac{{(n\ensuremath{\mu})}^{2}}{p}$, where $p$ is a real parameter $0\ensuremath{\le}p\ensuremath{\le}1$, ${s}_{g}$ is the location of the ghost pole, and $\ensuremath{\mu}$ is the pion mass. When the location of the ghost pole approaches the nucleon pole, the ghost cuts approach the unitarity cut. The renormalization procedure is adopted to the case of a ghost pole appearing on the real axis of $s$.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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