Proof of triviality of $λφ^4$ theory

Details Proof of triviality of $λφ^4$ theory Proof of triviality of $λφ^4$ theory

2006-11-26

arxiv.org/abs/hep-th/0611276v5

Int.J.Mod.Phys.A22:2433-2439,2007

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 1 figure. Updated references and added some more. Comparison with lattice data of the gluon propagator is given findi

Scientific paper

10.1142/S0217751X07036427

We show that a recent analysis in the strong coupling limit of the $\lambda\phi^4$ theory proves that this theory is indeed trivial giving in this limit the expansion of a free quantum field theory. We can get in this way the propagator with the renormalization constant and the renormalized mass. As expected the theory in this limit has the same spectrum as a harmonic oscillator. Some comments about triviality of the Yang-Mills theory in the infrared are also given.

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