Pauli-Zeldovich cancellation of the vacuum energy divergences, auxiliary fields and supersymmetry

TL;DR

This paper explores the Pauli-Zeldovich mechanism for canceling vacuum energy divergences, incorporating interactions between bosons and fermions in simple models with equal masses.

Contribution

It extends previous free-field studies by analyzing interacting particles and demonstrates the mechanism's viability in more complex, perturbative models.

Findings

Vacuum energy divergences can be canceled with interactions included.

Equal mass boson and fermion models show potential for divergence cancellation.

Interactions do not destroy the cancellation mechanism at lowest order.

Abstract

We have considered the Pauli-Zeldovich mechanism for the cancellation of the ultraviolet divergences in vacuum energy. This mechanism arises because bosons and fermions give contributions of the opposite signs. In contrast with the preceding papers devoted to this topic wherein mainly free fields were studied, here we have taken their interactions into account to the lowest order of perturbation theory. We have constructed some simple toy models having particles with spin 0 and spin 1/2, where masses of the particles are equal while the interactions can be quite non-trivial.