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An Asymptotically Free Phi4 Theory

Kerson Huang
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Abstract

The Phi4 theory in 4-epsilon dimensions has two fixed points, which coincide in the limit epsilon->0. One is a Gaussian UV fixed point, and the other a non-trivial IR fixed point. They lead to two different continuum field theories. The commonly adopted IR theory is ``trivial,'' behaves like perturbation theory, and suggests an upper bound on the Higgs boson mass. The UV theory is asymptotically free, and does not impose a bound on the Higgs mass. The UV continuum limit can also be reached in 4 dimensions with momentum or lattice cutoff.

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Kerson Huang. 1993-10-06. An Asymptotically Free Phi4 Theory. https://arxiv.org/abs/hep-ph/9310235

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