Ghost cuts of the nucleon propagator
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 nth ghost cut: s = s/sub g//(1-p) + (n$mu$$)$$sup 2$/p, where p is a real parameter 0 < or = p < or = 1, s/sub g/ is the location of the ghost pole, and $mu$ 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. (AIP)
- Research Organization:
- Department of Physics, Ben Gurion University of the Negev, Beer- Sheva, Israel
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-33-031541
- OSTI ID:
- 4016403
- Journal Information:
- Phys. Rev., D, v. 13, no. 6, pp. 1769-1777, Journal Name: Phys. Rev., D, v. 13, no. 6, pp. 1769-1777; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
Similar Records
PROPOSAL FOR DETERMINING THE PION-NUCLEON COUPLING CONSTANT FROM THE ANGULAR DISTRIBUTION FOR NUCLEON-NUCLEON SCATTERING
Truncated pion-nucleon amplitudes and pion-nucleus interactions