Nonlinear effects in field theory with heavy fermions

Rosenstein Baruch*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The potentials used in the description of heavy quarkonium by the Schrödinger equation do not take into account nonlinear effects. A procedure for the calculation of nonlinear contributions in perturbation theory is proposed. This procedure involves the adiabatic (Born-Oppenheimer) approximation of the field theory with heavy fermions interacting with a boson field by the theory of a boson field with a quasistatic source. The ground-state energy of the approximate theory is calculated perturbatively with the Gell-Mann Low formula. It is shown by an explicit calculation that nonlinear contributions in QCD are not negligible (as they are in QED).

Original languageEnglish
Pages (from-to)1377-1391
Number of pages15
JournalPhysical Review D
Issue number6
StatePublished - 1 Jan 1984

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