Tuesday, July 9, 2019

quantum field theory - Why is the theta term of QCD violating charge and parity (CP) symmetries?


From the non-trivial nature of the QCD vacuum, the Lagrangian is augmented with a term like



θg232π2Gaμν˜Ga,μν


where ˜Ga,μν=12ϵμνρσGaρσ is the dual field strength tensor. This term is said to violate CP, giving rise to the strong CP problem.


I understand the CP violation comes from the epsilon tensor in the dual field strength but I am looking for a simple straightforward demonstration of the CP violating nature of a term like G˜G.




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