Quantum Discontinuity for Massive Spin 3/2 with a Lambda Term

TL;DR

This paper reveals that the vanishing of the vDVZ discontinuity for massive spin 3/2 with a Lambda term at tree level does not hold at one loop, indicating a quantum correction to the phenomenon.

Contribution

It demonstrates that the absence of the discontinuity is an artifact of tree level approximation and rederives the one-loop beta function for D=11 supergravity on AdS_4 x S^7.

Findings

Discontinuity reappears at one loop for massive spin 3/2 with Lambda.

Recalculation confirms vanishing of one-loop beta function in D=11 supergravity.

Tree level approximation is insufficient to capture the full behavior.

Abstract

We show that the recently demonstrated absence of the van Dam-Veltman-Zakharov discontinuity for massive spin 3/2 with a Lambda term is an artifact of the tree level approximation, and that the discontinuity reappears at one loop. As a numerical check on the calculation, we rederive the vanishing of the one- loop beta function for D=11 supergravity on AdS_4 x S^7 level-by-level in the Kaluza-Klein tower.