Finite-Size and Finite-Temperature Effects in the Conformally Invariant O(N) Vector Model for 2<d<4

1998/09/14 by Anastasios C. Petkou, Petkou, Anastasios C., Nicholas D. Vlachos +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9809096

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

arxiv created 1998/11/09 · arxiv updated 2009/11/30

Abstract

We study the operator product expansion (OPE) of the auxiliary scalar field λ(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.

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