Some rigorous inequalities governing hadron masses in QCD are proved. One states that the electromagnetic mass shift of the pion is positive. The other states that if ${m}_{A\overline{B}}$ is the mass of the lightest meson made from a quark of type $A$ and an antiquark of type $B$, then---under conditions such that annihilation into gluons can be ignored---$2{m}_{A\overline{B}}>~{m}_{A\overline{A}}+{m}_{B\overline{B}}$. These inequalities agree with experimental data and have analogs for arbitrary vectorlike gauge theories. The first inequality has applications to the vacuum alignment problem in vectorlike technicolor theories.
Florian Manneville, Abdou Y. Omorou, Karine Legrand, J Langlois, Edith Lecomte, Françis Guillemin, Serge Briançon, Nelly Agrinier, Nalweyiso Claire Angel, Raphaëlle Ancellin, E. Aptel, Florian Bailly, L. Barthelemy, D. Bezaz, E. Bonsergent, J.F. Collin, Rozenn De Lavenne, Erin L Dietz, P. Enrietto, Estelle Favré, M. Gentieu, E. Gouault, Mara Juliane Woiciechoski Helfenstein, Serge Hercberg, F. Kurtz, Patrick Laure, Patricia Marx, A. Osbery, M. O. Piquee, Pierre Renaudin, G. Robert, A. Schichtel, S. Tessier, Anne Vuillemin, E. Villemin, M. Wuillaume
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