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The S-matrix bootstrap IV: multiple amplitudes

delete2019-11-12
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A
Alexandre Homrich *
J
João Penedones
T
Toledo, Jonathan
B
Balt C. van Rees
V
Vieira, Pedro
DOI:10.1007/JHEP11(2019)076delete
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摘要

摘要

En 中文
We explore the space of consistent three-particle couplings in Z(2)-symmetric two-dimensional QFTs using two first-principles approaches. Our first approach relies solely on unitarity, analyticity and crossing symmetry of the two-to-two scattering amplitudes and extends the techniques of [2] to a multi-amplitude setup. Our second approach is based on placing QFTs in AdS to get upper bounds on couplings with the numerical conformal bootstrap, and is a multi-correlator version of [1]. The space of allowed couplings that we carve out is rich in features, some of which we can link to amplitudes in integrable theories with a Z(2) symmetry, e.g., the three-state Potts and tricritical Ising field theories. Along a specific line our maximal coupling agrees with that of a new exact S-matrix that corresponds to an elliptic deformation of the supersymmetric Sine-Gordon model which preserves unitarity and solves the Yang-Baxter equation.
Keyword:
Field Theories in Lower Dimensions
Integrable Field Theories
Scattering Amplitudes
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Journal of High Energy Physics 封面图
Journal of High Energy Physics
IF:
5.5
论文数:
3.9W
被引数:
13.7W

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E
Ecole Polytechnique Federale de Lausanne
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swiss federal institutes of technology domain
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P
Perimeter Institute for Theoretical Physics
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