Proof of triviality of $λϕ^4$ theory

dc.creatorFrasca, Marco
dc.date2006-11-26
dc.date2007-03-21
dc.date.accessioned2026-07-07T11:23:16Z
dc.date.available2026-07-07T11:23:16Z
dc.descriptionWe show that a recent analysis in the strong coupling limit of the $λϕ^4$ 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.
dc.description5 pages, 1 figure. Updated references and added some more. Comparison with lattice data of the gluon propagator is given finding excellent agreement. Accepted for publication in International Journal of Modern Physics A
dc.identifierhttps://arxiv.org/abs/hep-th/0611276
dc.identifierhttp://arxiv.org/abs/hep-th/0611276
dc.identifierInt.J.Mod.Phys.A22:2433-2439,2007
dc.identifierdoi:10.1142/S0217751X07036427
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194836
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.titleProof of triviality of $λϕ^4$ theory
dc.typetext

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