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arXiv · hep-th/9406199

Fixed-Point Structure of Scalar Fields

Kenneth Halpern·Kerson Huang
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Abstract

We search for alternatives to the trivial $ϕ^4$ field theory by including arbitrary powers of the self-coupling. Such theories are renormalizable when the natural cutoff dependencies of the coupling constants are taken into account. We find a continuum of fixed points, which includes the well-known Gaussian fixed point. The fixed point density has a maximum at a location corresponding to a theory with a Higgs mass of approximately 2700 GeV. The Gaussian fixed point is UV stable in some directions in the extended parameter space. Along such directions we obtain non-trivial asymptotically free theories.

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Kenneth Halpern, Kerson Huang. 1994-06-29. Fixed-Point Structure of Scalar Fields. https://doi.org/10.1103/physrevlett.74.3526

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