Communications in Mathematical Physics

, Volume 177, Issue 1, pp 13–25 | Cite as

Supersymmetry, vacuum statistics, and the fundamental theorem of algebra

  • Donald Spector
Article

Abstract

I give an interpretation of the fundamental theorem of algebra based on supersymmetry and the Witten index. The argument gives a physical explanation of why a real polynomial of degreen need not haven real zeroes, while a complex polynomial of degreen must haven complex zeroes. This paper also addresses in a general and model-independent way the statistics of the perturbative ground states (the states which correspond to classical vacua) in supersymmetric theories with complex and with real superfields.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Vacuum Statistic 

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References

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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Donald Spector
    • 1
  1. 1.Department of Physics, Eaton HallHobart and William Smith CollegesGenevaUSA

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