On triviality of $λφ^4$ quantum field theory in four dimensions

Details On triviality of $λφ^4$ quantum field theory in four dimensions On triviality of $λφ^4$ quantum field theory in four dimensions

2010-03-18

arxiv.org/abs/1003.3670v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 1 fig.

Scientific paper

Interacting quantum scalar field theories in $dS_D\times M_d$ spacetime can be reduced to Euclidean field theories in $M_d$ space in the vicinity of $I_+$ infinity of $dS_D$ spacetime. Using this non-perturbative mapping, we analyze the critical behavior of Euclidean $\lambda\phi_4^4$ theory in the symmetric phase and find the asymptotic behavior $\beta(\lambda)\sim \lambda$ of the beta function at strong coupling. Scaling violating contributions to the beta function are also estimated in this regime.

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