Bootstrapping QCD: the Lake, the Peninsula and the Kink

Tuesday, 30 October, 2018

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We consider the S-matrix bootstrap of four dimensional scattering amplitudes with O(3) symmetry and no bound-states. We explore the allowed space of scattering lengths which parametrize the interaction strength at threshold of the various scattering channels. Next we consider an application of this formalism to pion physics. A signature of pions is that they are derivatively coupled leading to (chiral) zeros in their scattering amplitudes. In this work we explore the multi-dimensional space of chiral zeros positions, scattering length values and resonance mass values. Interestingly, we encounter lakes, peninsulas and kinks depending on which sections of this intricate multi-dimensional space we consider. We discuss the remarkable location where QCD seems to lie in these plots, based on various experimental and theoretical expectations.


Andrea L. Guerrieri
Joao Penedones
Pedro Vieira