Field redefinitions at finite density

✍ Scribed by R.J. Furnstahl; H.-W. Hammer; Negussie Tirfessa

• Book ID: 104334007
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 215 KB
• Volume: 689
• Category: Article
• ISSN: 0375-9474
• DOI: 10.1016/s0375-9474(00)00687-4

✦ Synopsis

The apparent dependence of nuclear matter observables on off-shell properties of the twonucleon potential is re-examined in the context of effective field theory (EFT). Finite density (thermodynamic) observables are invariant under field redefinitions, which extends the well-known theorem about the invariance of S-matrix elements. Simple examples demonstrate how field redefinitions can shift contributions between purely off-shell two-body interactions and many-body forces, leaving both scattering and finite-density observables unchanged. If only the transformed two-body potentials are kept, however, the nuclear matter binding curves will depend on the offshell part (generating "Coester bands"). The correspondence between field redefinitions and unitary transformations, which have traditionally been used to generate "phase-equivalent" nucleon-nucleon potentials, is also demonstrated.