A chiral field theory of $0^{ -+}$ glueball is presented. The coupling between the quark operator and the $0^{ -+}$ glueball field is revealed from the U(1) anomaly. The Lagrangian of this theory is constructed by adding a $0^{ -+}$ glueball field to a successful Lagrangian of chiral field theory of pseudoscalar, vector, and axial-vector mesons. Quantitative study of the physical processes of the $0^{ -+}$ glueball of $m=1.405\textrm{ GeV}$ is presented. The theoretical predictions can be used to identify the $0^{ -+}$ glueball.

Categories: hep-ph

Quantum chiral field theory of $0^{-+}$ glueball