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The Hidden Fermions in Z(2) Theories

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Structural Elements in Particle Physics and Statistical Mechanics

Part of the book series: NATO Advanced Study Institutes Series ((ACPH,volume 82))

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Abstract

In 1964, Schultz, Mattis, and Lieb (SML) [1] showed that the two dimensional Ising model is equivalent to a system of locally coupled fermions. After a canonical transformation, these fermions become noninteracting, and so SML were able to construct a simple, elegant, and exact solution. Recently, Fradkin, Susskind, and I (FSS) [2] showed that the three dimensional Z(2) gauge theory [3] could also be rewritten in terms of locally coupled fermionic degrees of freedom. Unfortunately, the coupling turned out to be quartic, and so we were unable to solve the theory.

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References

  1. T. Schultz, D. Mattis, and E. Lieb, Rev. Mod. Phys. 36, 856 (1964).

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Author information

Authors and Affiliations

  1. Joseph Henry Laboratories, Princeton University, 08544, Princeton, New Jersey, USA

    Mark Srednicki

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  1. Mark Srednicki
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Editor information

Editors and Affiliations

  1. Albert Ludwigs University, Freiburg, Federal Republic of Germany

    J. Honerkamp , K. Pohlmeyer  & H. Römer ,  & 

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© 1983 Plenum Press, New York

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Srednicki, M. (1983). The Hidden Fermions in Z(2) Theories. In: Honerkamp, J., Pohlmeyer, K., Römer, H. (eds) Structural Elements in Particle Physics and Statistical Mechanics. NATO Advanced Study Institutes Series, vol 82. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3509-2_14

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  • DOI: https://doi.org/10.1007/978-1-4613-3509-2_14

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3511-5

  • Online ISBN: 978-1-4613-3509-2

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