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For example, in the theory of a complex scalar boson ##\phi##, the Lagrangian is a function of ##\phi^{*}\phi##, and not of ##\phi## and ##\phi^{*}## separately.

Also, in the theory of a Dirac fermion ##\psi##, the Lagrangian is a function of ##\bar{\psi}\psi##, and not of ##\psi## and ##\bar{\psi}## separately.

This makes it difficult to see if the fermion is ##\psi## and the antifermion is ##\bar{\psi}## or if, the fermion is ##\bar{\psi}## and the antifermion is ##\psi##.

Is there a way to solve this problem?