Infrared analysis of quantum field theories

Details Infrared analysis of quantum field theories Infrared analysis of quantum field theories

2006-10-12

arxiv.org/abs/hep-th/0610148v4

Int.J.Mod.Phys.A22:1727-1734,2007

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, no figure. Accepted for publication in International Journal of Modern Physics A

Scientific paper

10.1142/S0217751X07036129

We show that for a $\lambda\phi^4$ theory having many components, the solution with all equal components in the infrared regime is stable with respect to our expansion given by a recently devised approach to analyze strongly coupled quantum field theory. The analysis is extended to a pure Yang-Mills theory showing how, in this case, the given asymptotic series exists. In this way, many components theories in the infrared regime can be mapped to a single component scalar field theory obtaining their spectrum.

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