Fixed-Point Structure of Scalar Fields

Details Fixed-Point Structure of Scalar Fields Fixed-Point Structure of Scalar Fields

1994-06-29

arxiv.org/abs/hep-th/9406199v1

Phys.Rev.Lett. 74 (1995) 3526-3529

Physics

High Energy Physics

High Energy Physics - Theory

9 pages of Tex with 1 UUencoded figure appended at end

Scientific paper

10.1103/PhysRevLett.74.3526

We search for alternatives to the trivial $\phi^4$ 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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