In a BRST-symmetric theory with non-Hermitian fermion mass matrix, the one-loop contribution to the φ†φ two-point function becomes real for real external momentum after removing the i factor from the e^{iS} normalization, due to conjugate pole pairing.
Renormalizability of a quark-gluon model with soft BRST breaking in the infrared region
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abstract
We prove the renormalizability of a quark-gluon model with a soft breaking of the BRST symmetry, which accounts for the modification of the large distance behavior of the quark and gluon correlation functions. The proof is valid to all orders of perturbation theory, by making use of softly broken Ward identities.
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Pathways to Real Composite Operators from Non-Hermitian Fermions
In a BRST-symmetric theory with non-Hermitian fermion mass matrix, the one-loop contribution to the φ†φ two-point function becomes real for real external momentum after removing the i factor from the e^{iS} normalization, due to conjugate pole pairing.