Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization-Group Behavior of $\phi^3$ Theories in $d=6$ Dimensions   We investigate possible renormalization-group fixed points at nonzero
coupling in $\phi^3$ theories in six spacetime dimensions, using beta functions
calculated to the four-loop level. We analyze three theories of this type, with
(a) a one-component scalar, (b) a scalar transforming as the fundamental
representation of a global ${\rm SU}(N)$ symmetry group, and (c) a scalar
transforming as a bi-adjoint representation of a global ${\rm SU}(N) \otimes
{\rm SU}(N)$ symmetry. We do not find robust evidence for such fixed points in
theories (a) or (b). Theory (c) has the special feature that the one-loop term
in the beta function is zero; implications of this are discussed.

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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: math
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph