A primal S-matrix bootstrap framework parameterizes imaginary parts of partial waves, uses dispersion relations to enforce consistency, computes coupling bounds, and handles Regge behavior plus spinning states like glueballs.
Bootstrapping QCD: the Lake, the Peninsula and the Kink
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
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.
citation-role summary
background 2
citation-polarity summary
verdicts
UNVERDICTED 3roles
background 2polarities
background 2representative citing papers
The all-loop bare perturbative part of the four-quark Bethe-Salpeter kernel is computed analytically in the large-Nf limit of massless QCD.
Multipositivity bounds derived from planar tree-level scattering amplitudes constrain Wilson coefficients of the chiral Lagrangian from below by the chiral anomaly.
citing papers explorer
-
Primal S-matrix bootstrap with dispersion relations
A primal S-matrix bootstrap framework parameterizes imaginary parts of partial waves, uses dispersion relations to enforce consistency, computes coupling bounds, and handles Regge behavior plus spinning states like glueballs.
-
All-loop four-quark Bethe-Salpeter kernel
The all-loop bare perturbative part of the four-quark Bethe-Salpeter kernel is computed analytically in the large-Nf limit of massless QCD.
-
Multipositivity Constrains the Chiral Lagrangian
Multipositivity bounds derived from planar tree-level scattering amplitudes constrain Wilson coefficients of the chiral Lagrangian from below by the chiral anomaly.