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Thermal Equilibrium States for Quantum Fields on Non-commutative Spacetimes

In: Quantum Mathematical Physics

Author

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  • Gandalf Lechner

    (Cardiff University, School of Mathematics)

  • Jan Schlemmer

    (Mathematisches Institut der Westfälischen Wilhelms-Universität)

Abstract

Fully Poincaré covariant quantum field theories on non-commutative Moyal Minkowski spacetime so far have been considered in their vacuum representations, i.e. at zero temperature. Here we report on work in progress regarding their thermal representations, corresponding to physical states at non-zero temperature, which turn out to be markedly different from both, thermal representations of quantum field theory on commutative Minkowski spacetime, and such representations of non-covariant quantum field theory on Moyal Minkowski space with a fixed deformation matrix.

Suggested Citation

  • Gandalf Lechner & Jan Schlemmer, 2016. "Thermal Equilibrium States for Quantum Fields on Non-commutative Spacetimes," Springer Books, in: Felix Finster & Johannes Kleiner & Christian Röken & Jürgen Tolksdorf (ed.), Quantum Mathematical Physics, edition 1, pages 179-199, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-26902-3_10
    DOI: 10.1007/978-3-319-26902-3_10
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