Mass and scattering length inequalities in QCD and QCD-like theories

S. Nussinov*, B. Sathiapalan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Some observations about mass and scattering length inequalities in QCD-like theories are presented. It is shown that the Weingarten mass inequality can be used to argue that global vector symmetries are unbroken in such theories. For QCD, in the limit Nc→ ∞, it is shown that Mbaryon≥ 1 2NcMmeson, provided there are at least Nc degenerate flavors of quarks. It is argued that when there are no bound states in a scattering channel, the mass inequalities can be used to derive inequalities between scattering lengths. Some rigorous inequalities for two and higher point functions for operators bilinear in currents are derived, and used to extract inequalities between quartic coupling constants.

Original languageEnglish
Pages (from-to)285-298
Number of pages14
JournalNuclear Physics, Section B
Issue numberC
StatePublished - 1985
Externally publishedYes


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