On the Free-Energy of Three-Dimensional CFTs and Polylogarithms

Details On the Free-Energy of Three-Dimensional CFTs and Polylogarithms On the Free-Energy of Three-Dimensional CFTs and Polylogarithms

1998-12-18

arxiv.org/abs/hep-th/9812166v3

Phys.Lett. B456 (1999) 147-154

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 13 pages, 2 eps figures; v2 typos corrected; v3 Expanded discussion of the results, added references

Scientific paper

10.1016/S0370-2693(99)00477-3

We study the O(N) vector model and the U(N) Gross-Neveu model with fixed
total fermion number, in three dimensions. Using non-trivial polylogarithmic
identities, we calculate the large-N renormalized free-energy density of these
models, at their conformal points in a ``slab'' geometry with one finite
dimension of length L. We comment on the possible implications of our results.

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