Study of Temperature Inversion Symmetry for the Twisted Wess-Zumino

Details Study of Temperature Inversion Symmetry for the Twisted Wess-Zumino Study of Temperature Inversion Symmetry for the Twisted Wess-Zumino

2006-12-21

arxiv.org/abs/hep-th/0612233v1

J.PHys.A40:5725,2007; J.Phys.A40:5725-5732,2007

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1088/1751-8113/40/21/018

The temperature inversion symmetry, for a non interacting supersymmetric ensemble, at finite volume, is studied. It is found that, the scaled free energy, $f(\xi)$, is antisymmetric under temperature inversion transformation, i.e. $f(\xi)=-\xi ^{d}f(\frac{1}{\xi})$. This occurs for antiperiodic bosons and periodic fermions, in the compact dimension. On the contrary, for periodic bosons and antiperiodic fermions, $f(\xi)=\xi ^{d}f(\frac{1}{\xi})$.

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