On the indistinguishability of Chiral QED with parameter-free Faddeevian anomaly and QED under a chiral constraint

TL;DR

This paper demonstrates that imposing a chiral constraint on different chiral QED models results in models that are indistinguishable at the quantum level, revealing a deep equivalence among them.

Contribution

It shows that various chiral QED models with different interactions become indistinguishable under a chiral constraint, unifying their quantum descriptions.

Findings

Models with different matter-gauge interactions become indistinguishable under chiral constraints.

The gauge non-invariant model has an equivalent gauge-invariant form in the same phase space.

Chiral constraints unify different chiral QED models at the quantum level.

Abstract

We carry out an investigation imposing a chiral constraint in the phase space of vector and axial-vector Schwinger model. We find that resulting model is identical to gauge non-invariant model which was obtained by the imposition of chiral constraint in the phase-space of in Chiral Schwinger model with the parameter-free Faddeevian anomaly. Three different models having different types of interaction between the matter and gauge field become indistinguishable under a chiral constraint at the quantum mechanical level. The resulting gauge non-invariant model has an equivalent gauge-invariant version in the same phase space that can be identified with the vector Schwinger model.