The mass renormalization of nonperturbative light-front Hamiltonian theory: An illustration using truncated, Pauli-Villars-regulated Yukawa interactions

Abstract

We obtain analytic, nonperturbative, approximate solutions of Yukawa theory in the one-fermion sector using light-front quantization. The theory is regulated in the ultraviolet by the introduction of heavy Pauli-Villars scalar and fermion fields, each with negative norm. In order to obtain a directly soluble problem, fermion-pair creation and annihilation are neglected, and the number of bosonic constituents is limited to one of either type. We discuss some of the features of the wave function of the eigensolution, including its endpoint behavior and spin and orbital angular momentum content. The limit of infinite Pauli-Villars mass receives special scrutiny.

Revision includes new title, expanded introduction, and new Figs. 1 & 2

References in corpus (6)

• Application of Pauli-Villars regularization and discretized light-cone quantization to a single-fermion truncation of Yukawa theory
• Large-momentum convergence of Hamiltonian bound-state dynamics of effective fermions in quantum field theory
• Nonperturbative renormalization in a scalar model within Light-Front Dynamics
• Expansion of bound state energies in powers of m/M and (1-m/M)
• Exact solutions to Pauli-Villars-regulated field theories
• Renormalized Poincaré algebra for effective particles in quantum field theory

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