Finiteness Conditions for Light-Front Hamiltonians

TL;DR

This paper investigates how finiteness conditions can resolve ambiguities in fermion mass renormalization within light-front Hamiltonian models, addressing challenges in applying these conditions to discrete light-cone quantization.

Contribution

It demonstrates that finiteness conditions can fix mass renormalization ambiguities in light-front Hamiltonians, providing insights into their application in discrete frameworks.

Findings

Finiteness conditions can determine fermion mass renormalization.

Application difficulties in discrete light-cone quantization are discussed.

Finiteness conditions help fix ambiguities in simple models.

Abstract

In the context of simple models, it is shown that demanding finiteness for physical masses with respect to a longitudinal cutoff, can be used to fix the ambiguity in the renormalization of fermions masses in the Hamiltonian light-front formulation. Difficulties that arise in applications of finiteness conditions to discrete light-cone quantization are discussed.