Abstract
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 \( \mathcal{O} \)(p4) 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 \( \mathcal{O} \)(R4) corrections. We observe that ensuring compatibility with phenomenological/lattice results (the values) as given in [1], requires a relationship relating the \( \mathcal{O} \)(R4) 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 \( \mathcal{O} \)(R4) 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.
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Dedicated by one of the authors (AM) to the memory of his supervisor, the late Professor Daniel Koltun who introduced him to χPT 25 years ago — a subject the former has returned back to after 22 years — and instilled in the former the importance of uncompromising independence of thought and inquiry.
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ArXiv ePrint: 2011.04660
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Yadav, V., Yadav, G. & Misra, A. (Phenomenology/Lattice-Compatible) SU(3) MχPT HD up to \( \mathcal{O} \)(p4) and the \( \mathcal{O} \)(R4)-Large-N Connection. J. High Energ. Phys. 2021, 151 (2021). https://doi.org/10.1007/JHEP08(2021)151
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DOI: https://doi.org/10.1007/JHEP08(2021)151