Finite-Size and Finite-Temperature Effects in the Conformally Invariant O(N) Vector Model for 2<d<4
High Energy Physics - Theory
2007-05-23 v2 Statistical Mechanics
High Energy Physics - Phenomenology
Abstract
We study the operator product expansion (OPE) of the auxiliary scalar field \lambda(x) with itself, in the conformally invariant O(N) Vector Model for 2<d<4, to leading order in 1/N in a strip-like geometry with one finite dimension of length L. We show that consistency of the finite-geometry OPE with bulk OPE calculations requires the physical conditions of, either finite-size scaling at criticality, or finite-temperature phase transition.
Keywords
Cite
@article{arxiv.hep-th/9809096,
title = {Finite-Size and Finite-Temperature Effects in the Conformally Invariant O(N) Vector Model for 2<d<4},
author = {Anastasios C. Petkou and Nicholas D. Vlachos},
journal= {arXiv preprint arXiv:hep-th/9809096},
year = {2007}
}
Comments
4 pages, 2 eps figures, work presented at the 5th International Workshop on Thermal Field Theories and Their Applications, Regensburg, Germany, August 10-14, 1998