Bootstrapping pions at large N

A bstract 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...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2022; no. 8; pp. 151 - 65
Main Authors Albert, Jan, Rastelli, Leonardo
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 16.08.2022
Springer Nature B.V
SpringerOpen
Subjects
1/N Expansion
Approximation
Chiral Lagrangian
Classical and Quantum Gravitation
Effective Field Theories
Elementary Particles
Energy
Field theory
Geometry
High energy physics
Light
Phenomenology
Physics
Physics and Astronomy
Pions
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Symmetry
1
Effective Field Theories
Chiral Lagrangian
Expansion
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2022)151