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Scale Transformations, the Energy-Momentum Tensor and the Equation of State

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The Nuclear Equation of State

Part of the book series: NATO ASI Series ((NSSB,volume 216a))

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Abstract

The Equation of State (EOS) relates diagonal elements of the energy-momentum tensor θ μv . The first moment of the energy-momentum tensor generates scale transformations. The virial theorem, a consequence of the behavior of the energy density under scale transformations, allows one to eliminate the kinetic energy in terms of the potential terms. The trace theorem for the energy-momentum tensor expresses ∊-3p in terms of ensemble averages of scale-breaking operators, allowing a new approach to the EOS.

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References

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Author information

Authors and Affiliations

  1. Department of Physics, University of Arizona, Tucson, Arizona, 85721, USA

    P. Carruthers

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  1. P. Carruthers
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Editor information

Editors and Affiliations

  1. Johann Wolfgang Goethe University, Frankfurt am Main, Federal Republic of Germany

    Walter Greiner  & Horst Stöcker  & 

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© 1989 Springer Science+Business Media New York

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Carruthers, P. (1989). Scale Transformations, the Energy-Momentum Tensor and the Equation of State. In: Greiner, W., Stöcker, H. (eds) The Nuclear Equation of State. NATO ASI Series, vol 216a. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0583-5_39

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  • DOI: https://doi.org/10.1007/978-1-4613-0583-5_39

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-7877-1

  • Online ISBN: 978-1-4613-0583-5

  • eBook Packages: Springer Book Archive

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