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

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 $k{T}_M=|\lambda |/\pi$, where $\lambda$ 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.

Needs subeqnarray.sty; To be published in Phys. Rev. D, Dec 15, 1995. Some typographical errors have been corrected in the revised version

Cited by in corpus (1)

• Asymptotically Free $\hat{U}(1)$ Kac-Moody Gauge Fields in $3+1$ dimensions