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High Energy Theory Seminar

Friday, April 8, 2022
11:00am to 12:00pm
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Online and In-Person Event
The S-matrix bootstrap in two and four dimensions: primal and dual problem
Martin Kruczenski, Purdue University,

The original S-matrix Bootstrap proposed by Chew, Mandelstam, and others was based on the idea that the S-matrix might be fully constrained by global symmetries, crossing, unitarity, and analyticity.  Recently this approach was revived from a somewhat different point of view. Using the same constraints, one numerically maps out the space of allowed S-matrices.  For two to two scattering, the allowed space is a convex space that, in certain cases, has vertices that can be identified with a quantum field theory of interest. In that case, the approach allows the numerical computation of the S-matrix without relying on the particular Lagrangian of the theory. In this talk I describe recent results we obtained using convex optimization techniques.

Based on work in progress and hep-th/2103.11484 with Yifei He,  and other work hep-th/2103.11484 2012.15576 1909.06495 1805.02812 with Y. He, A. Irrgang, P. Vieira and L. Cordova.

The talk is in 469 Lauritsen.

Contact [email protected] for Zoom information.