  We show that the Implicit Regularization Technique is useful to display
quantum symmetry breaking in a complete regularization independent fashion.
Arbitrary parameters are expressed by finite differences between integrals of
the same superficial degree of divergence whose value is fixed on physical
grounds (symmetry requirements or phenomenology). We study Weyl fermions on a
classical gravitational background in two dimensions and show that, assuming
Lorentz symmetry, the Weyl and Einstein Ward identities reduce to a set of
algebraic equations for the arbitrary parameters which allows us to study the
Ward identities on equal footing. We conclude in a renormalization independent
way that the axial part of the Einstein Ward identity is always violated.
Moreover whereas we can preserve the pure tensor part of the Einstein Ward
identity at the expense of violating the Weyl Ward identities we may as well
violate the former and preserve the latter.
