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arXiv · hep-th/9511094

Maximum temperature for an Ideal Gas of $\hat U(1)$ Kac-Moody Fermions

Belal E. Baaquie
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Abstract

A lagrangian for gauge fields coupled to fermions with the Kac-Moody group as its gauge group yields, for the pure fermions sector, an ideal gas of Kac-Moody fermions. The canonical partition function for the $\hat U(1)$ case is shown to have a maximum temperature $kT_{M} = |λ| /π$, where $λ$ is the coupling of the super charge operator $G_0 $ to the fermions. This result is similar to the case of strings but unlike strings the result is obtained from a well-defined lagrangian.

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Belal E. Baaquie. 1995-11-23. Maximum temperature for an Ideal Gas of $\hat U(1)$ Kac-Moody Fermions. https://doi.org/10.1103/physrevd.53.879

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