Study of Temperature Inversion Symmetry for the Twisted Wess-Zumino

Abstract

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, $f(\xi )={\xi }^{d}f(\frac{1}{\xi })$.

9 pages

References in corpus (1)

• Uses of zeta regularization in QFT with boundary conditions: a cosmo-topological Casimir effect

Cited by in corpus (2)

• Report of the Detailed Calculation of the Effective Potential in Spacetimes with $S^1\times R^d$ Topology and at Finite Temperature
• Modular invariance in finite temperature Casimir effect