On the Free-Energy of Three-Dimensional CFTs and Polylogarithms
arXiv:hep-th/9812166 · doi:10.1016/S0370-2693(99)00477-3
Abstract
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.
Latex, 13 pages, 2 eps figures; v2 typos corrected; v3 Expanded discussion of the results, added references