• DOI:10.1103/PhysRevD.73.027701 10.1103/PhysRevD.73.049902
• Corpus ID: 119704703

Strongly coupled quantum field theory

@article{Frasca2006StronglyCQ,
  title={Strongly coupled quantum field theory},
  author={Marco Frasca},
  journal={Physical Review D},
  year={2006},
  volume={73},
  pages={027701}
}

• M. Frasca
• Published 6 November 2005
• Physics, Mathematics
• Physical Review D

I analyze numerically a two-dimensional {lambda}{phi}{sup 4} theory showing that in the limit of a strong coupling {lambda}{yields}{infinity} just the homogeneous solutions for time evolution are relevant in agreement with the duality principle in perturbation theory as presented in [M. Frasca, Phys. Rev. A 58, 3439 (1998)], being negligible the contribution of the spatial varying parts of the dynamical equations. A consequence is that the Green function method works for this nonlinear problem in the large coupling limit as in a linear theory. A numerical proof is given for this. With these results at hand, I built a strongly coupled quantum field theory for a {lambda}{phi}{sup 4} interacting field computing the first order correction to the generating functional. Mass spectrum of the theory is obtained turning out to be that of a harmonic oscillator with no dependence on the dimensionality of space-time. The agreement with the Lehmann-Kaellen representation of the perturbation series is then shown at the first order.