An asymptotic solution of large-N QCD

We find an asymptotic solution for two-, three- and multi-point correlators of local gauge-invariant operators, in a lower-spin sector of massless large-N QCD, in terms of glueball and meson propagators, in such a way that the solution is asymptotic in the ultraviolet to renormalization-group impro...

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Main Author: Bochicchio Marco
Format: Article
Language:English
Published: EDP Sciences 2014-01-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/20148000010
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spelling doaj-412cca2363924beea03adf1a3ec559782021-08-02T11:22:36ZengEDP SciencesEPJ Web of Conferences2100-014X2014-01-01800001010.1051/epjconf/20148000010epjconf_qcd2014_00010An asymptotic solution of large-N QCDBochicchio Marco We find an asymptotic solution for two-, three- and multi-point correlators of local gauge-invariant operators, in a lower-spin sector of massless large-N QCD, in terms of glueball and meson propagators, in such a way that the solution is asymptotic in the ultraviolet to renormalization-group improved perturbation theory, by means of a new purely field-theoretical technique that we call the asymptotically-free bootstrap, based on a recently-proved asymptotic structure theorem for two-point correlators. The asymptotically-free bootstrap provides as well asymptotic S-matrix amplitudes in terms of glueball and meson propagators. Remarkably, the asymptotic S-matrix depends only on the unknown particle spectrum, but not on the anomalous dimensions, as a consequence of the LS Z reduction formulae. Very many physics consequences follow, both practically and theoretically. In fact, the asymptotic solution sets the strongest constraints on any actual solution of large-N QCD, and in particular on any string solution. http://dx.doi.org/10.1051/epjconf/20148000010
collection DOAJ
language English
format Article
sources DOAJ
author Bochicchio Marco
spellingShingle Bochicchio Marco
An asymptotic solution of large-N QCD
EPJ Web of Conferences
author_facet Bochicchio Marco
author_sort Bochicchio Marco
title An asymptotic solution of large-N QCD
title_short An asymptotic solution of large-N QCD
title_full An asymptotic solution of large-N QCD
title_fullStr An asymptotic solution of large-N QCD
title_full_unstemmed An asymptotic solution of large-N QCD
title_sort asymptotic solution of large-n qcd
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2014-01-01
description We find an asymptotic solution for two-, three- and multi-point correlators of local gauge-invariant operators, in a lower-spin sector of massless large-N QCD, in terms of glueball and meson propagators, in such a way that the solution is asymptotic in the ultraviolet to renormalization-group improved perturbation theory, by means of a new purely field-theoretical technique that we call the asymptotically-free bootstrap, based on a recently-proved asymptotic structure theorem for two-point correlators. The asymptotically-free bootstrap provides as well asymptotic S-matrix amplitudes in terms of glueball and meson propagators. Remarkably, the asymptotic S-matrix depends only on the unknown particle spectrum, but not on the anomalous dimensions, as a consequence of the LS Z reduction formulae. Very many physics consequences follow, both practically and theoretically. In fact, the asymptotic solution sets the strongest constraints on any actual solution of large-N QCD, and in particular on any string solution.
url http://dx.doi.org/10.1051/epjconf/20148000010
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