Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Genuine Dilatons in Gauge Theories   A genuine dilaton $\sigma$ allows scales to exist even in the limit of exact
conformal invariance. In gauge theories, these may occur at an infrared fixed
point (IRFP) $\alpha_{\text{IR}}$ through dimensional transmutation. These
large scales at $\alpha_{\text{IR}}$ can be separated from small scales
produced by $\theta^\mu_\mu$, the trace of the energy-momentum tensor. For
quantum chromodynamics (QCD), the conformal limit can be combined with chiral
$SU(3) \times SU(3)$ symmetry to produce chiral-scale perturbation theory
$\chi$PT$_\sigma$, with $f_0(500)$ as the dilaton. The technicolor (TC)
analogue of this is crawling TC: at low energies, the gauge coupling $\alpha$
goes directly to (but does not walk past) $\alpha_{\text{IR}}$, and the
massless dilaton at $\alpha_{\text{IR}}$ corresponds to a light Higgs boson at
$\alpha \lesssim \alpha_{\text{IR}}$. It is suggested that the $W^\pm$ and
$Z^0$ bosons set the scale of the Higgs boson mass. Unlike crawling TC, in
walking TC, $\theta^\mu_\mu$ produces $all$ scales, large and small, so it is
hard to argue that its ``dilatonic'' candidate for the Higgs boson is not
heavy.

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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: math
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: math-ph