A 3+1 Dimensional Light-Front Model with Spontaneous Breaking of Chiral Symmetry

Abstract

We investigate a 3+1 dimensional toy model that exhibits spontaneous breakdown of chiral symmetry, both in a light-front (LF) Hamiltonian and in a Euclidean Schwinger-Dyson (SD) formulation. We show that both formulations are completely equivalent --- provided the renormalization is properly done. For the model considered, this means that if one uses the same transverse momentum cutoff on the SD and LF formulations then the vertex mass in the LF calculation must be taken to be the same as the current quark mass in the SD calculation. The kinetic mass term in the LF calculation is renormalized non-trivially, which is eventually responsible for the mass generation of the physical fermion of the model.

6 pages, REVTEX

References in corpus (4)

• Nonperturbative Light-Front QCD
• Effective light front quantization of scalar field theories and two-dimensional electrodynamics
• Trivial Vacua, High Orders in Perturbation Theory and Nontrivial Condensates
• Parity Invariance and Effective Light-Front Hamiltonians

Cited by in corpus (13)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Nonperturbative renormalization and the electron's anomalous moment in large-alpha QED
• Dynamical vertex mass generation and chiral symmetry breaking on the light-front
• Broken Chiral Symmetry on a Null Plane
• Mesons on a transverse lattice
• Frame dependence of form factors in light-front dynamics
• Wilson Fermions on a Transverse Lattice
• Finiteness Conditions for Light-Front Hamiltonians
• Dynamical Chiral Symmetry Breaking on the Light Front I. DLCQ Approach
• Fermionic Zero Modes and Spontaneous Symmetry Breaking on the Light Front
• Mesons a in Collinear QCD Model
• Chiral Symmetry in Light-front QCD
• B-Mesons on the Transverse Lattice