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• W3082042765 abstract "A bstract We apply Hilbert series techniques to the enumeration of operators in the mesonic QCD chiral Lagrangian. Existing Hilbert series technologies for non-linear realizations are extended to incorporate the external fields. The action of charge conjugation is addressed by folding the $$ mathfrak{su}(n) $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>su</mml:mi> <mml:mfenced> <mml:mi>n</mml:mi> </mml:mfenced> </mml:math> Dynkin diagrams, which we detail in an appendix that can be read separately as it has potential broader applications. New results include the enumeration of anomalous operators appearing in the chiral Lagrangian at order p 8 , as well as enumeration of CP -even, CP -odd, C -odd, and P -odd terms beginning from order p 6 . The method is extendable to very high orders, and we present results up to order p 16 . (The title sequence is the number of independent C -even and P -even operators in the mesonic QCD chiral Lagrangian with three light flavors of quarks, at chiral dimensions p 2 , p 4 , p 6 , …)" @default.
• W3082042765 created "2020-09-08" @default.
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• W3082042765 date "2021-01-01" @default.
• W3082042765 modified "2023-10-16" @default.
• W3082042765 title "2, 12, 117, 1959, 45171, 1170086, …: a Hilbert series for the QCD chiral Lagrangian" @default.
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• W3082042765 hasPublicationYear "2021" @default.
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