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Bootstrapping mesons at large $N$: Regge trajectory from spin-two maximization

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arxiv 2312.15013 v1 pith:6A6R2D5T submitted 2023-12-22 hep-th hep-lathep-ph

classification hep-thhep-lathep-ph
keywords bootstrapcontainlargemesonmesonsreggetrajectoryabove
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We continue the investigation of large $N$ QCD from a modern bootstrap perspective, focusing on the mesons. We make the natural spectral assumption that the $2 \to 2$ pion amplitude must contain, above the spin-one rho meson, a massive resonance of spin two. By maximizing its coupling we find a very interesting extremal solution of the dual bootstrap problem, which appears to contain at least a full Regge trajectory. Its low-lying states are in uncanny quantitative agreement with the meson masses in the real world.

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Forward citations

Cited by 10 Pith papers

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