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Related Experiment Videos

Superconnections and internal supersymmetry dynamics.

Y Ne'eman1, S Sternberg

  • 1Ministry of Science, Government of Israel, Jerusalem, Israel.

Proceedings of the National Academy of Sciences of the United States of America
|October 1, 1990
PubMed
Summary

This study unifies quarks and leptons using internal supersymmetry (su(n/1)) and superconnections. The Higgs field naturally arises from superconnections, influencing particle interactions within this unified framework.

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Area of Science:

  • Theoretical Particle Physics
  • Quantum Field Theory
  • Supersymmetry

Background:

  • Previous work proposed internal supersymmetry (su(n/1)) for unifying fundamental particles.
  • Existing theories often introduce Higgs fields phenomenologically.

Purpose of the Study:

  • To explore superconnections as a natural framework for internally supersymmetric theories.
  • To investigate the role of the Higgs field within this superconnection formalism.

Main Methods:

  • Utilizing the mathematical framework of superconnections as introduced by Quillen.
  • Analyzing the structure of the superconnection and its curvature.
  • Examining the implications of the supercovariant derivative.

Main Results:

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  • The Higgs field emerges as the "zero-th order part" of the superconnection.
  • The Higgs mechanism is quadratically incorporated into the superconnection's curvature.
  • The supercovariant derivative naturally couples the Higgs field to matter fields.

Conclusions:

  • Superconnections provide a natural and unified setting for internally supersymmetric theories.
  • This approach offers a more integrated explanation for the Higgs mechanism compared to previous models.
  • The derived couplings align with those observed in the Weinberg-Salam theory.