סמינר בחלקיקים: The non-perturbative S-matrix, from analytics to numerical bootstrap

Dr. Amit Sever, TAU

18 ביוני 2020, 10:00 
Zoom: https://zoom.us/j/97305349275?pwd=a3hoWWtscnJGRVJLNTZSaHYySEg3Zz09 
סמינר בחלקיקים

Zoom: https://zoom.us/j/97305349275?pwd=a3hoWWtscnJGRVJLNTZSaHYySEg3Zz09

 

Abstract:

We revisit analytical methods for constraining the nonperturbative S-matrix of unitary, relativistic, gapped theories in d>2 spacetime dimensions. We assume extended analyticity of the two-to-two scattering amplitude and use it together with elastic unitarity to develop two natural expansions of the amplitude. One is the threshold (non-relativistic) expansion and the other is the large spin expansion. The two are related by the Froissart-Gribov inversion formula. When combined with crossing and a local bound on the discontinuity of the amplitude, this allows us to constrain scattering at finite energy and spin in terms of the low-energy parameters measured in the experiment. Finally, we discuss the modern numerical approach to the S-matrix bootstrap and how it can be improved based on the results of our analysis.

 

 

מארגן הסמינר: פרופ' ארז עציון וד"ר לירון ברק

 

אוניברסיטת תל-אביב, ת.ד. 39040, תל-אביב 6997801
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