학술논문

Bootstrapping pions at large N
Document Type
article
Source
Journal of High Energy Physics, Vol 2022, Iss 8, Pp 1-65 (2022)
Subject
1/N Expansion
Effective Field Theories
Chiral Lagrangian
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
Language
English
ISSN
1029-8479
Abstract
Abstract We revisit from a modern bootstrap perspective the longstanding problem of solving QCD in the large N limit. We derive universal bounds on the effective field theory of massless pions by imposing the full set of positivity constraints that follow from 2 → 2 scattering. Some features of our exclusion plots have intriguing connections with hadronic phenomenology. The exclusion boundary exhibits a sharp kink, raising the tantalizing scenario that large N QCD may sit at this kink. We critically examine this possibility, developing in the process a partial analytic understanding of the geometry of the bounds.