Dependence of variational perturbation expansions on strong-coupling behavior: Inapplicability ofδexpansion to field theory

B. Hamprecht, H. Kleinert
2003 Physical Review D, Particles and fields  
We show that in applications of variational theory to quantum field theory it is essential to account for the correct Wegner exponent omega governing the approach to the strong-coupling, or scaling limit. Otherwise the procedure either does not converge at all or to the wrong limit. This invalidates all papers applying the so-called delta-expansion to quantum field theory.
doi:10.1103/physrevd.68.065001 fatcat:r3p5a4bebna2nh2qpcnnjcpfty