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Non-Trivial Directions for Scalar Fields

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Published Article
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Identifiers
DOI: 10.1103/PhysRevD.53.3252
arXiv ID: hep-th/9510240
Source
arXiv
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Abstract

We study the eigenvectors of the renormalization-group matrix for scalar fields at the Gaussian fixed point, and find that that there exist ``relevant'' directions in parameter space. They correspond to theories with exponential potentials that are nontrivial and asymptotically free. All other potentials, including polynomial potentials, are ``irrelevant,'' and lead to trivial theories. Away from the Gaussian fixed point, renormalization does not induce derivative couplings, but it generates non-local interactions.

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