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arXiv · 1707.08135

A Note on S-Matrix Bootstrap for Amplitudes with Linear Spectrum

Pranjal Nayak·Rohan R. Poojary·Ronak M Soni
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Abstract

We work out constraints imposed by channel duality and analyticity on tree-level amplitudes of four identical real scalars, with the assumptions of a linear spectrum of exchanged particles and Regge asymptotic behaviour. We reduce the requirement of channel duality to a countably infinite set of equations in the general case. We show that channel duality uniquely fixes the soft Regge behaviour of the amplitudes to that found in String theory, $(-s)^{2t}$. Specialising to the case of tachyonic external particles, we use channel duality to show that the amplitude can be any one in an infinite-dimensional parameter space, and present evidence that unitarity doesn't significantly reduce the dimension of the space of amplitudes.

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Pranjal Nayak, Rohan R. Poojary, Ronak M Soni. 2017-07-25. A Note on S-Matrix Bootstrap for Amplitudes with Linear Spectrum. https://arxiv.org/abs/1707.08135

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