Fermi-Bose Cancellation in Topologically Non-Trivial Backgrounds

Details Fermi-Bose Cancellation in Topologically Non-Trivial Backgrounds Fermi-Bose Cancellation in Topologically Non-Trivial Backgrounds

1997-11-20

arxiv.org/abs/hep-th/9711154v1

Mod.Phys.Lett. A13 (1998) 193-202

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, harvmac, no figures

Scientific paper

10.1142/S0217732398000243

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.

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