Parity invariance and nonperturbative renormalization of effective light-front Hamiltonians

In the light-front form of field theory, boost invariance is a manifest symmetry. On the down side, parity and rotational invariance are not manifest, leaving the possibility that approximations or incorrect renormalization might lead to violations of these symmetries for physical observables. In this paper, it is discussed how one can turn this deficiency into an advantage and utilize parity violations (or the absence thereof) in practice for constraining effective light-front Hamiltonians. More precisely, we will identify observables that are both sensitive to parity violations and easily calculable numerically in a nonperturbative framework and we will use these observables to constrain the finite part of noncovariant counterterms in effective light-front Hamiltonians.