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

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

1995-11-14

arxiv.org/abs/hep-th/9511094v2

Phys.Rev. D53 (1996) 879-881

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.53.879

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 $kT_{M} = |\lambda| /\pi$, 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.

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