Variational Mass Perturbation Theory for Light-Front Bound-State Equations

Abstract

We investigate the mesonic light-front bound-state equations of the 't Hooft and Schwinger model in the two-particle, i.e. valence sector, for small fermion mass. We perform a high precision determination of the mass and light-cone wave function of the lowest lying meson by combining fermion mass perturbation theory with a variational approach. All calculations are done entirely in the fermionic representation without using any bosonization scheme. In a step-by-step procedure we enlarge the space of variational parameters. For the first two steps, the results are obtained analytically. Beyond that we use computer algebraic and numerical methods. We achieve good convergence so that the calculation of the meson mass squared can be extended to third order in the fermion mass. Within the numerical treatment we include higher Fock states up to six particles. Our results are consistent with all previous numerical investigations, in particular lattice calculations. For the massive Schwinger model, we find a small discrepancy (less than 2 percent) in comparison with known bosonization results. Possible resolutions of this discrepancy are discussed.

some points clarified, representation straightened, to appear in Phys. Rev. D, 31 pages, Latex, REVTeX, epsfig, 3 postscript figures included

References in corpus (1)

• Massive Schwinger model within mass perturbation theory

Cited by in corpus (12)

• Density Matrix Renormalisation Group Approach to the Massive Schwinger Model
• A New Finite-lattice study of the Massive Schwinger Model
• Bosonized Massive N-flavor Schwinger Model
• Nonperturbative renormalization and the electron's anomalous moment in large-alpha QED
• Light front QED${}_{1+1}$ at finite temperature
• Quark-hadron duality for heavy meson mixings in the 't Hooft model
• A New Basis Function Approach to 't Hooft-Bergknoff-Eller Equations
• Renormal-order improvement of the Schwinger mass
• The Influence of Higher Fock States in Light-Cone Gauge Theories
• Light-Cone Quantization: Foundations and Applications
• RPA for Light-Front Hamiltonian Field Theory
• Light-front two-dimensional QED: Self-field approach