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Effective field theory bootstrap, large-N $\chi$PT and holographic QCD

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arxiv 2310.09698 v4 pith:7MNSUG2E submitted 2023-10-15 hep-th

Yue-Zhou Li This is my paper
classification hep-th
keywords theorylarge-primalbootstrapboundboundsconstrainconvergence
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 5 Pith papers

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  3. Splitting Regions and Shrinking Islands from Higher Point Constraints

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  4. The Rise of Linear Trajectories

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  5. Bootstrapping Gravity with Crossing Symmetric Dispersion Relations

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    A crossing-symmetric dispersion-relation bootstrap reproduces known gravitational EFT bounds and gives new tree-level limits on the graviton coupling to a massive spin-4 state.

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