Evaluation of the derivative quartic terms of the meson chiral Lagrangian from forward dispersion relations

1985/06/01 by T.N. Pham, Tran N. Truong · 1 voice · 182 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Dispersion (optics) #Dispersion relation #Field theory (psychology) #Lagrangian #Mathematical physics #Meson #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pi #Pion #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quartic function #Scattering

paper · doi:10.1103/physrevd.31.3027

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 31(11), 3027-3029 (American Physical Society)

openalex publication_date 1985/06/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Using the forward dispersion relations for \ensuremathπ\ensuremathπ scattering, we show that the coefficients of the derivative quartic terms in the chiral Lagrangian are positive. The Skyrme term is mainly given by the \ensuremathρ-meson contribution to the I=1 total cross section and gives a proton mass of 1.27 GeV. The non-Skyrme term is found of comparable strength from the I=0 S-wave \ensuremathπ\ensuremathπ data.

Cited by

• Weak gravity conjecture
• Weak Gravity Conjecture in the sky: gravitational waves from preheating in Einstein-Maxwell-Scalar EFT
• Imprints of flat space analyticity in de Sitter S-matrix
• Lieb-Robinson causality and non-Fermi liquids
• The EFT-hedron
• De-projecting the EFThedron
• Causality, Analyticity and an IR Obstruction to UV Completion
• Bootstrapping transport in the Drude-Kadanoff-Martin model
• Strings from Almost Nothing
• A Compact Story of Positivity in de Sitter
• Multipositivity Bounds for Scattering Amplitudes
• Exploring amplitude criteria for weak gravity in electroweak theory
• Partial Waves for Multipositivity
• Quark Schwinger-Dyson evaluation of thel1,l2coefficients in the chiral Lagrangian
• Skyrmion model and the dynamical breakdown of chiral symmetry
• Kl4 decays beyond one loop
• Natural Selection Rules: New Positivity Bounds for Massive Spinning Particles
• Sharp boundaries for the swampland
• New phenomenological and theoretical perspective on anomalous ZZ and Zγ processes
• Symmetries, sum rules and constraints on effective field theories
• Convex Geometry Perspective on the (Standard Model) Effective Field Theory Space

Discussions

• Dec 17 - Positivity Bounds journals.aps.org/prd/abstract... In 1985, Pham and Truong use dispersion relations to show that the 4 derivative term in pi-pi scattering must be positive. This was redisc [bsky, 19 points, 2 comments]

Related

• Chiral-dispersive calculations of pion-pion scattering confront experiment
• Integral and derivative dispersion relations in the analysis of the data on pp and pp forward scattering
• Pi Pi Scattering and Scalar Mesons in an Effective Chiral Lagrangian
• Study of scalar mesons in chiral Lagrangian frameworks
• Recent developments in chiral perturbation theory