Abstract
Effective field theory requires all observables to be independent of the representation used for the quantum field operators. It means that off-shell properties of the interactions should not lead to any observable effects. We analyze this issue in the context of many-body approaches to nuclear matter, where it should be possible to shift the contributions of lowest order in purely off-shell two-body interactions into three-body forces. We show that none of the commonly used truncations of the two-body scattering amplitude such as the ladder, Brueckner-Hartree-Fock, or parquet approximations respect this requirement.
| Original language | English |
|---|---|
| Pages (from-to) | 313011-313015 |
| Number of pages | 4 |
| Journal | Physical Review C - Nuclear Physics |
| Volume | 67 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Mar 2003 |
Keywords
- Nuclear matter (dense; off-shell effects and consistency of many-body approaches to dense matter); Nuclear field theory (effective; off-shell effects and consistency of many-body approaches to dense matter in relation to); Nuclear model (many-body; off-shell effects and consistency of many-body approaches to dense matter); Nuclear force (three-body; off-shell effects and consistency of many-body approaches to dense matter in relation to)