Fermi-Bose Cancellation in Topologically Non-Trivial Backgrounds
arXiv:hep-th/9711154 · doi:10.1142/S0217732398000243
Abstract
We show in a model-independent way that, in the background of a topological soliton or instanton that saturates a Bogomol'nyi bound, the fermion and boson excitation spectra of non-zero modes cancel at the one-loop level. This generalizes D'Adda and DiVecchia's result for some specific instanton models. Our method also establishes, again in a model-independent way, the generality of the connection between zero modes in topologically non-trivial backgrounds and index theorems.
arXiv comment12 pages, harvmac, no figures