Question

For fermion, is charge conjugate operator $C$ an anti-unitary operator?

Answer 1

In condensed matter theory, CC is called "particle-hole inversion", such that C2=−1C2=−1, for fermionic state.

In high energy physics, just like most of the QFT textbooks, CC is introduced from Dirac field, satisfies C2=1C2=1, even for fermionic state.

Answer 2

For fermion, is charge conjugate operator an anti-unitary operator? In condensed matter theory, is called "particle-hole inversion", such that C 2 = − 1 , for fermionic state. In high energy physics, just like most of the QFT textbooks, is introduced from Dirac field, satisfies C 2 = 1 , even for fermionic state.} [/tex]