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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Online Access: | http://dx.doi.org/10.1051/epjconf/20148000010 |
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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.
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url |
http://dx.doi.org/10.1051/epjconf/20148000010 |
work_keys_str_mv |
AT bochicchiomarco anasymptoticsolutionoflargenqcd AT bochicchiomarco asymptoticsolutionoflargenqcd |
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