On the Free-Energy of Three-Dimensional CFTs and Polylogarithms
High Energy Physics - Theory
2009-10-31 v3 Condensed Matter
High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.hep-th/9812166,
title = {On the Free-Energy of Three-Dimensional CFTs and Polylogarithms},
author = {A. C. Petkou and M. B. Silva Neto},
journal= {arXiv preprint arXiv:hep-th/9812166},
year = {2009}
}
Comments
Latex, 13 pages, 2 eps figures; v2 typos corrected; v3 Expanded discussion of the results, added references