Radiative corrections in the Yukawa model within the null-plane causal perturbation theory framework

TL;DR

This paper applies null-plane causal perturbation theory to compute radiative corrections in the Yukawa model, avoiding problematic poles and regularization, and demonstrates equivalence with traditional instant dynamics results.

Contribution

It introduces a novel application of null-plane causal perturbation theory to the Yukawa model, providing a pole-free, regularization-free calculation method for radiative corrections.

Findings

Explicit calculation of boson and fermion self-energies.

Results are equivalent to those obtained with instant dynamics.

Method avoids poles and regularization in light-front calculations.

Abstract

Practical calculations in light-front dynamics are, as a general rule, complicated, since there is no consensus about how to treat the poles which come from the instantaneous parts of Feynman's propagators of the fields. An alternative to solve this difficulty is null-plane causal perturbation theory, a recent developed framework which prevents the appearance of the mentioned poles by avoiding the usage of Feynman's propagators in "loop distributions", requiring no regularization of the amplitudes. In this study, we treat the radiative corrections in the neutral Yukawa's model in that framework. Particularly, we explicitly calculate the boson and fermion self-energies and show that the results obtained with this approach are equivalent to that of the instant dynamics.