부산대학교 도서관

For a relativistic irreducible quantum field theory (QFT) in which the bosons and fermions fulfill the canonical commutation relation (CCR) and the canonical anticommutation relation (CAR), respectively, it is shown that in n>3 space dimensions Bose and Fermi fields fulfill free field equations. Furthermore which interactions might be compatible with CCR and CAR in lower space dimensions are characterized. The possible candidates are interactions of type Q2(ψ,ψ°)[lowercase_phi_synonym]+P4([lowercase_phi_synonym]) in n=3, Q2(ψ,ψ°)P2([lowercase_phi_synonym])+P6([lowercase_phi_synonym]) in n=2, and Q4(ψ,ψ°)F([lowercase_phi_synonym]) in n=1 space dimensions, where Qm and Pm are polynomials of degree up to m. [ABSTRACT FROM AUTHOR]