Parity Invariance and Effective Light-Front Hamiltonians

Abstract

In the light-front form of field theory, boost invariance is a manifest symmetry. On the downside, 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 non-perturbative framework and we will use these observables to constrain the finite part of non-covariant counter-terms in effective light-front Hamiltonians.

REVTEX, 9 pages

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• Wilson Fermions on a Transverse Lattice
• A 3+1 Dimensional Light-Front Model with Spontaneous Breaking of Chiral Symmetry
• Finiteness Conditions for Light-Front Hamiltonians
• Glueballs on a transverse lattice
• Deuteron binding energies and form factors from light front field theory
• Decoupling of Zero-Modes and Covariance in the Light-Front Formulation of Supersymmetric Theories
• Mesons a in Collinear QCD Model
• Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory
• DLCQ On a Twisted Torus