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Flux Tube S-matrix Bootstrap

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arxiv 1906.08098 v2 pith:HQX2YDVY submitted 2019-06-19 hep-th hep-lathep-phnlin.SI

Flux Tube S-matrix Bootstrap

classification hep-th hep-lathep-phnlin.SI
keywords energyfluxs-matricess-matrixtheoriestubebootstrapbounds
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We bootstrap the S-matrix of massless particles in unitary, relativistic two dimensional quantum field theories. We find that the low energy expansion of such S-matrices is strongly constrained by the existence of a UV completion. In the context of flux tube physics, this allows us to constrain several terms in the S-matrix low energy expansion or -- equivalently -- on Wilson coefficients of several irrelevant operators showing up in the flux tube effective action. These bounds have direct implications for other physical quantities; for instance, they allow us to further bound the ground state energy as well as the level splitting of degenerate energy levels of large flux tubes. We find that the S-matrices living at the boundary of the allowed space exhibit an intricate pattern of resonances with one sharper resonance whose quantum numbers, mass and width are precisely those of the world-sheet axion proposed in [1,2]. The general method proposed here should be extendable to massless S-matrices in higher dimensions and should lead to new quantitative bounds on irrelevant operators in theories of Goldstones and also in gauge and gravity theories.

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Cited by 7 Pith papers

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    hep-lat 2026-06 unverdicted novelty 7.0

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