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- W1971291528 abstract "If $ensuremath{delta}$ [the term that breaks scale symmetry and not $mathrm{SU}(3)ensuremath{bigotimes}mathrm{SU}(3)$] is a $c$ number, (or vanishes) all components of the $mathrm{SU}(3)ensuremath{bigotimes}mathrm{SU}(3)$ currents have the same dimension ${l}_{0}={l}_{k}=3$. In other words, ${l}_{0}ensuremath{ne}{l}_{k}$ implies that a $q$ number $ensuremath{delta}$ is present. Presence of a $q$ number $ensuremath{delta}$ thus follows if the Schwinger term in the current commutators is a (finite) $c$ number. We obtain the commutators of $J_{0}^{}{}_{}{}^{a}$ with the scale-symmetry-breaking operators $ensuremath{delta}$, $u$, and $ensuremath{theta}_{ensuremath{mu}}^{}{}_{}{}^{ensuremath{mu}}$ in terms of $J_{k}^{}{}_{}{}^{a}$ and ${ensuremath{partial}}^{ensuremath{mu}}J_{ensuremath{mu}}^{}{}_{}{}^{a}$. As one of their consequences, continuity of the limit $ensuremath{delta}ensuremath{rightarrow}0$ implies that ${l}_{k}=3$." @default.
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- W1971291528 date "1971-04-15" @default.
- W1971291528 modified "2023-10-14" @default.
- W1971291528 title "Scale-Symmetry Breaking and Scaling Properties of Currents" @default.
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- W1971291528 doi "https://doi.org/10.1103/physrevd.3.1860" @default.
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