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 improv...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2014-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/epjconf/20148000010 |
| _version_ | 1818982924778733568 |
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| author | Bochicchio Marco |
| author_facet | Bochicchio Marco |
| author_sort | Bochicchio Marco |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-20T17:54:57Z |
| format | Article |
| id | doaj.art-412cca2363924beea03adf1a3ec55978 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-20T17:54:57Z |
| publishDate | 2014-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-412cca2363924beea03adf1a3ec559782022-12-21T19:30:47ZengEDP SciencesEPJ Web of Conferences2100-014X2014-01-01800001010.1051/epjconf/20148000010epjconf_qcd2014_00010An asymptotic solution of large-N QCDBochicchio MarcoWe 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 |
| spellingShingle | Bochicchio Marco An asymptotic solution of large-N QCD EPJ Web of Conferences |
| title | 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_short | An asymptotic solution of large-N QCD |
| title_sort | asymptotic solution of large n qcd |
| url | http://dx.doi.org/10.1051/epjconf/20148000010 |
| work_keys_str_mv | AT bochicchiomarco anasymptoticsolutionoflargenqcd AT bochicchiomarco asymptoticsolutionoflargenqcd |