References & Citations
High Energy Physics - Theory
Title: Effective field theory bootstrap, large-N $χ$PT and holographic QCD
(Submitted on 15 Oct 2023 (v1), last revised 5 Nov 2023 (this version, v2))
Abstract: We review the effective field theory (EFT) bootstrap by formulating it as an infinite-dimensional semidefinite program (SDP), built from the crossing symmetric sum rules and the S-matrix primal ansatz. We apply the program to study the large-$N$ chiral perturbation theory ($\chi$PT) and observe excellent convergence of EFT bounds between the dual (rule-out) and primal (rule-in) methods. This convergence aligns with the predictions of duality theory in SDP, enabling us to analyze the bound states and resonances in the ultra-violet (UV) spectrum. Furthermore, we incorporate the upper bound of unitarity to uniformly constrain the EFT space from the UV scale $M$ using the primal method, thereby confirming the consistency of the large-$N$ expansion. In the end, we translate the large-$N$ $\chi$PT bounds to constrain the higher derivative corrections of holographic QCD models.
Submission history
From: Yue-Zhou Li [view email][v1] Sun, 15 Oct 2023 01:30:30 GMT (1022kb,D)
[v2] Sun, 5 Nov 2023 18:11:20 GMT (1030kb,D)
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