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Hot Bang States of Massless Fermions

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Abstract

According to the characterization of local thermal equilibrium states in Local Quantum Physics proposed by Buchholz et al. microscopic and corresponding macroscopic observables are computed for the model of massless, free fermions on Minkowski space. An example for a local equilibrium state describing a hot bang is given, the main step being the proof of its positivity.

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References

  1. Bahr, B.: Lokale Gleichgewichtszustände masseloser Fermionen (in German). Diploma thesis, University of Göttingen (2004). http://www.theorie.physik.uni-goettingen.de/ forschung/qft/theses/dipl/Bahr.pdf

  2. Borchers H.-J. (1992) Translation Group and Particle Representations in Quantum Field Theory. Springer, Berlin Heidelberg New York

    MATH  Google Scholar 

  3. Bratteli O., Robinson D.W. (1996) Operator Algebras and Quantum Statistical Mechanics. Equilibrium states, vol. 2. Springer, Berlin Heidelberg New York

    Google Scholar 

  4. Buchholz D. (2003) On hot bangs and the arrow of time in relativistic quantum field theory. Commun. Math. Phys. 237, 271–288

    MATH  MathSciNet  ADS  Google Scholar 

  5. Buchholz D., Ojima I., Roos H. (2002) Thermodynamic properties of non-equilibrium states in quantum field theory. Ann. Phys. 297, 219

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. Dixon W.G. (1979) Special Relativity. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  7. Haag R. (1992) Local Quantum Physics. Springer, Berlin Heidelberg New York

    MATH  Google Scholar 

  8. Huebener, R.: Lokale Gleichgewichtszustände massiver Bosonen (in German). Diploma thesis, University of Göttingen (2004). http://www.theorie.physik.uni- goettingen.de/forschung/qft/theses/dipl/Huebener.pdf

  9. Knake, P.: Lokale Gleichgewichtszustände in der konformen Quantenfeldtheorie (in German). Diploma thesis, University of Göttingen (2004) http://www.theorie.physik.uni-goettingen.de/forschung/qft/theses/dipl/Knake.pdf

  10. Ojima I. (1986) Lorentz invariance vs. temperature in QFT. Lett. Math. Phys. 11, 73

    Article  MathSciNet  Google Scholar 

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Correspondence to Benjamin Bahr.

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Bahr, B. Hot Bang States of Massless Fermions. Lett Math Phys 78, 39–54 (2006). https://doi.org/10.1007/s11005-006-0105-3

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  • DOI: https://doi.org/10.1007/s11005-006-0105-3

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