Obtaining the values of the coupling constants of the low energy effective theory corresponding to QCD, compatible with experimental data, even in the (vector) mesonic sector from (the $$ \mathcal{M} $$ -theory uplift of) a UV-complete string theory dual, has thus far been missing in the literature. We take the first step in this direction by obtaining the values of the coupling constants of the $$ \mathcal{O} $$ (p 4) χPT Lagrangian in the chiral limit involving the NGBs and ρ meson (and its flavor partners) from the $$ \mathcal{M} $$ -theory/type IIA dual of large-N thermal QCD, inclusive of the $$ \mathcal{O} $$ (R 4) corrections. We observe that ensuring compatibility with phenomenological/lattice results (the values) as given in [1], requires a relationship relating the $$ \mathcal{O} $$ (R 4) corrections and large-N suppression. In other words, QCD demands that the higher derivative corrections and the large-N suppressed corrections in its M/string theory dual, are related. As a bonus, we explicitly show that the $$ \mathcal{O} $$ (R 4) corrections in the UV to the $$ \mathcal{M} $$ -theory uplift of the type IIB dual of large-N thermal QCD at low temperatures, can be consistently set to be vanishingly small.
{ "_oai": { "updated": "2021-11-24T00:55:47Z", "id": "oai:repo.scoap3.org:64313", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "India", "value": "Department of Physics, Indian Institute of Technology Roorkee, Roorkee, 247667, India", "organization": "Indian Institute of Technology Roorkee" } ], "surname": "Yadav", "email": "vyadav@ph.iitr.ac.in", "full_name": "Yadav, Vikas", "given_names": "Vikas" }, { "affiliations": [ { "country": "India", "value": "Department of Physics, Indian Institute of Technology Roorkee, Roorkee, 247667, India", "organization": "Indian Institute of Technology Roorkee" } ], "surname": "Yadav", "email": "gyadav@ph.iitr.ac.in", "full_name": "Yadav, Gopal", "given_names": "Gopal" }, { "affiliations": [ { "country": "India", "value": "Department of Physics, Indian Institute of Technology Roorkee, Roorkee, 247667, India", "organization": "Indian Institute of Technology Roorkee" } ], "surname": "Misra", "email": "aalok.misra@ph.iitr.ac.in", "full_name": "Misra, Aalok", "given_names": "Aalok" } ], "titles": [ { "source": "Springer", "title": "(Phenomenology/Lattice-Compatible) SU(3) M\u03c7PT HD up to <math> <mi>O</mi> </math> $$ \\mathcal{O} $$ (p4) and the <math> <mi>O</mi> </math> $$ \\mathcal{O} $$ (R4)-Large-N Connection" } ], "dois": [ { "value": "10.1007/JHEP08(2021)151" } ], "publication_info": [ { "page_end": "50", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2021", "artid": "JHEP08(2021)151", "year": 2021, "page_start": "1", "journal_issue": "8" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-11-24T00:32:32.948116", "source": "Springer", "method": "Springer", "submission_number": "a88a546c4cbd11ecaa1b7aa32592193b" }, "page_nr": [ 50 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2021" } ], "control_number": "64313", "record_creation_date": "2021-08-31T06:30:22.103230", "_files": [ { "checksum": "md5:150c202110383a9bfa0ac974a63fd52d", "filetype": "xml", "bucket": "ed77bf01-786d-4265-a282-81091ee5140e", "version_id": "5645abaa-7bf2-45bd-b5eb-2ae56ebcb936", "key": "10.1007/JHEP08(2021)151.xml", "size": 16209 }, { "checksum": "md5:5d6b16f46a8001d4af9e4c18f03361f7", "filetype": "pdf/a", "bucket": "ed77bf01-786d-4265-a282-81091ee5140e", "version_id": "9975f77a-ccbc-4a0b-82f7-9c044675f615", "key": "10.1007/JHEP08(2021)151_a.pdf", "size": 822645 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "hep-ph", "nucl-th" ], "value": "2011.04660" } ], "abstracts": [ { "source": "Springer", "value": "Obtaining the values of the coupling constants of the low energy effective theory corresponding to QCD, compatible with experimental data, even in the (vector) mesonic sector from (the <math> <mi>M</mi> </math> $$ \\mathcal{M} $$ -theory uplift of) a UV-complete string theory dual, has thus far been missing in the literature. We take the first step in this direction by obtaining the values of the coupling constants of the <math> <mi>O</mi> </math> $$ \\mathcal{O} $$ (p 4) \u03c7PT Lagrangian in the chiral limit involving the NGBs and \u03c1 meson (and its flavor partners) from the <math> <mi>M</mi> </math> $$ \\mathcal{M} $$ -theory/type IIA dual of large-N thermal QCD, inclusive of the <math> <mi>O</mi> </math> $$ \\mathcal{O} $$ (R 4) corrections. We observe that ensuring compatibility with phenomenological/lattice results (the values) as given in [1], requires a relationship relating the <math> <mi>O</mi> </math> $$ \\mathcal{O} $$ (R 4) corrections and large-N suppression. In other words, QCD demands that the higher derivative corrections and the large-N suppressed corrections in its M/string theory dual, are related. As a bonus, we explicitly show that the <math> <mi>O</mi> </math> $$ \\mathcal{O} $$ (R 4) corrections in the UV to the <math> <mi>M</mi> </math> $$ \\mathcal{M} $$ -theory uplift of the type IIB dual of large-N thermal QCD at low temperatures, can be consistently set to be vanishingly small." } ], "imprints": [ { "date": "2021-08-27", "publisher": "Springer" } ] }